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Finding the Fourth Proportional to 3,662.40, 5,056 and 2,545.28

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Solution

The fourth proportional to 3,662.40, 5,056 and 2,545.28 is: 3,513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.40 : 5,056 = 2,545.28 : x
  2. Step 2: Convert to fraction form
    3,662.40/5,056 = 2,545.28/x
  3. Step 3: Cross multiply
    3,662.40x = 5,056 × 2,545.28
  4. Step 4: Simplify right side
    3,662.40x = 12,868,935.68
  5. Step 5: Solve for x
    x = 12,868,935.68/3,662.40
  6. Step 6: Final answer
    x = 3,513.80

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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.