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Finding the Fourth Proportional to 5,402.77, 7,455.87 and 3,414.22

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Solution

The fourth proportional to 5,402.77, 7,455.87 and 3,414.22 is: 4,711.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.77 : 7,455.87 = 3,414.22 : x
  2. Step 2: Convert to fraction form
    5,402.77/7,455.87 = 3,414.22/x
  3. Step 3: Cross multiply
    5,402.77x = 7,455.87 × 3,414.22
  4. Step 4: Simplify right side
    5,402.77x = 25,455,980.47
  5. Step 5: Solve for x
    x = 25,455,980.47/5,402.77
  6. Step 6: Final answer
    x = 4,711.65

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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.