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Finding the Fourth Proportional to 3,737.91, 5,603.40 and 1,656.81

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Solution

The fourth proportional to 3,737.91, 5,603.40 and 1,656.81 is: 2,483.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.91 : 5,603.40 = 1,656.81 : x
  2. Step 2: Convert to fraction form
    3,737.91/5,603.40 = 1,656.81/x
  3. Step 3: Cross multiply
    3,737.91x = 5,603.40 × 1,656.81
  4. Step 4: Simplify right side
    3,737.91x = 9,283,769.15
  5. Step 5: Solve for x
    x = 9,283,769.15/3,737.91
  6. Step 6: Final answer
    x = 2,483.68

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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.