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Finding the Fourth Proportional to 3,730.36, 5,145.10 and 3,564.92

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Solution

The fourth proportional to 3,730.36, 5,145.10 and 3,564.92 is: 4,916.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.36 : 5,145.10 = 3,564.92 : x
  2. Step 2: Convert to fraction form
    3,730.36/5,145.10 = 3,564.92/x
  3. Step 3: Cross multiply
    3,730.36x = 5,145.10 × 3,564.92
  4. Step 4: Simplify right side
    3,730.36x = 18,341,869.89
  5. Step 5: Solve for x
    x = 18,341,869.89/3,730.36
  6. Step 6: Final answer
    x = 4,916.92

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