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Finding the Fourth Proportional to 4,737.06, 6,526.17 and 3,408.39

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Solution

The fourth proportional to 4,737.06, 6,526.17 and 3,408.39 is: 4,695.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.06 : 6,526.17 = 3,408.39 : x
  2. Step 2: Convert to fraction form
    4,737.06/6,526.17 = 3,408.39/x
  3. Step 3: Cross multiply
    4,737.06x = 6,526.17 × 3,408.39
  4. Step 4: Simplify right side
    4,737.06x = 22,243,732.57
  5. Step 5: Solve for x
    x = 22,243,732.57/4,737.06
  6. Step 6: Final answer
    x = 4,695.68

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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.