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Finding the Fourth Proportional to 5,641.17, 7,776.69 and 3,957.35

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Solution

The fourth proportional to 5,641.17, 7,776.69 and 3,957.35 is: 5,455.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.17 : 7,776.69 = 3,957.35 : x
  2. Step 2: Convert to fraction form
    5,641.17/7,776.69 = 3,957.35/x
  3. Step 3: Cross multiply
    5,641.17x = 7,776.69 × 3,957.35
  4. Step 4: Simplify right side
    5,641.17x = 30,775,045.29
  5. Step 5: Solve for x
    x = 30,775,045.29/5,641.17
  6. Step 6: Final answer
    x = 5,455.44

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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.