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Finding the Fourth Proportional to 5,102.40, 7,654.32 and 1,770.24

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Solution

The fourth proportional to 5,102.40, 7,654.32 and 1,770.24 is: 2,655.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.40 : 7,654.32 = 1,770.24 : x
  2. Step 2: Convert to fraction form
    5,102.40/7,654.32 = 1,770.24/x
  3. Step 3: Cross multiply
    5,102.40x = 7,654.32 × 1,770.24
  4. Step 4: Simplify right side
    5,102.40x = 13,549,983.44
  5. Step 5: Solve for x
    x = 13,549,983.44/5,102.40
  6. Step 6: Final answer
    x = 2,655.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.