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Finding the Fourth Proportional to 5,411.70, 7,468.02 and 3,053.88

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Solution

The fourth proportional to 5,411.70, 7,468.02 and 3,053.88 is: 4,214.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.70 : 7,468.02 = 3,053.88 : x
  2. Step 2: Convert to fraction form
    5,411.70/7,468.02 = 3,053.88/x
  3. Step 3: Cross multiply
    5,411.70x = 7,468.02 × 3,053.88
  4. Step 4: Simplify right side
    5,411.70x = 22,806,436.92
  5. Step 5: Solve for x
    x = 22,806,436.92/5,411.70
  6. Step 6: Final answer
    x = 4,214.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.