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Finding the Fourth Proportional to 5,262, 7,261.65 and 3,402.24

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Solution

The fourth proportional to 5,262, 7,261.65 and 3,402.24 is: 4,695.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262 : 7,261.65 = 3,402.24 : x
  2. Step 2: Convert to fraction form
    5,262/7,261.65 = 3,402.24/x
  3. Step 3: Cross multiply
    5,262x = 7,261.65 × 3,402.24
  4. Step 4: Simplify right side
    5,262x = 24,705,876.10
  5. Step 5: Solve for x
    x = 24,705,876.10/5,262
  6. Step 6: Final answer
    x = 4,695.15

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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.