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Finding the Fourth Proportional to 5,666.24, 7,816.90 and 3,775.98

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Solution

The fourth proportional to 5,666.24, 7,816.90 and 3,775.98 is: 5,209.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.24 : 7,816.90 = 3,775.98 : x
  2. Step 2: Convert to fraction form
    5,666.24/7,816.90 = 3,775.98/x
  3. Step 3: Cross multiply
    5,666.24x = 7,816.90 × 3,775.98
  4. Step 4: Simplify right side
    5,666.24x = 29,516,448.62
  5. Step 5: Solve for x
    x = 29,516,448.62/5,666.24
  6. Step 6: Final answer
    x = 5,209.18

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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.