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Finding the Fourth Proportional to 6,337.40, 8,747.79 and 3,685.64

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Solution

The fourth proportional to 6,337.40, 8,747.79 and 3,685.64 is: 5,087.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.40 : 8,747.79 = 3,685.64 : x
  2. Step 2: Convert to fraction form
    6,337.40/8,747.79 = 3,685.64/x
  3. Step 3: Cross multiply
    6,337.40x = 8,747.79 × 3,685.64
  4. Step 4: Simplify right side
    6,337.40x = 32,241,204.74
  5. Step 5: Solve for x
    x = 32,241,204.74/6,337.40
  6. Step 6: Final answer
    x = 5,087.45

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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.