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Finding the Fourth Proportional to 3,715.70, 5,127.65 and 2,223.83

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Solution

The fourth proportional to 3,715.70, 5,127.65 and 2,223.83 is: 3,068.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.70 : 5,127.65 = 2,223.83 : x
  2. Step 2: Convert to fraction form
    3,715.70/5,127.65 = 2,223.83/x
  3. Step 3: Cross multiply
    3,715.70x = 5,127.65 × 2,223.83
  4. Step 4: Simplify right side
    3,715.70x = 11,402,985.14
  5. Step 5: Solve for x
    x = 11,402,985.14/3,715.70
  6. Step 6: Final answer
    x = 3,068.87

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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.