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Finding the Fourth Proportional to 5,631.72, 7,770.70 and 3,534.90

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Solution

The fourth proportional to 5,631.72, 7,770.70 and 3,534.90 is: 4,877.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.72 : 7,770.70 = 3,534.90 : x
  2. Step 2: Convert to fraction form
    5,631.72/7,770.70 = 3,534.90/x
  3. Step 3: Cross multiply
    5,631.72x = 7,770.70 × 3,534.90
  4. Step 4: Simplify right side
    5,631.72x = 27,468,647.43
  5. Step 5: Solve for x
    x = 27,468,647.43/5,631.72
  6. Step 6: Final answer
    x = 4,877.49

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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.