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Finding the Fourth Proportional to 4,497.40, 6,747.70 and 4,337.40

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Solution

The fourth proportional to 4,497.40, 6,747.70 and 4,337.40 is: 6,507.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.40 : 6,747.70 = 4,337.40 : x
  2. Step 2: Convert to fraction form
    4,497.40/6,747.70 = 4,337.40/x
  3. Step 3: Cross multiply
    4,497.40x = 6,747.70 × 4,337.40
  4. Step 4: Simplify right side
    4,497.40x = 29,267,473.98
  5. Step 5: Solve for x
    x = 29,267,473.98/4,497.40
  6. Step 6: Final answer
    x = 6,507.64

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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.