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Finding the Fourth Proportional to 5,156,461.54, 7,734,087.95 and 1,744,737.94

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Solution

The fourth proportional to 5,156,461.54, 7,734,087.95 and 1,744,737.94 is: 2,616,902.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156,461.54 : 7,734,087.95 = 1,744,737.94 : x
  2. Step 2: Convert to fraction form
    5,156,461.54/7,734,087.95 = 1,744,737.94/x
  3. Step 3: Cross multiply
    5,156,461.54x = 7,734,087.95 × 1,744,737.94
  4. Step 4: Simplify right side
    5,156,461.54x = 13,493,956,677,661.82
  5. Step 5: Solve for x
    x = 13,493,956,677,661.82/5,156,461.54
  6. Step 6: Final answer
    x = 2,616,902.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.