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Finding the Fourth Proportional to 6,274.62, 8,658.87 and 3,757.02

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Solution

The fourth proportional to 6,274.62, 8,658.87 and 3,757.02 is: 5,184.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.62 : 8,658.87 = 3,757.02 : x
  2. Step 2: Convert to fraction form
    6,274.62/8,658.87 = 3,757.02/x
  3. Step 3: Cross multiply
    6,274.62x = 8,658.87 × 3,757.02
  4. Step 4: Simplify right side
    6,274.62x = 32,531,547.77
  5. Step 5: Solve for x
    x = 32,531,547.77/6,274.62
  6. Step 6: Final answer
    x = 5,184.62

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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.