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Finding the Fourth Proportional to 6,494.68, 8,962.46 and 3,700.04

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Solution

The fourth proportional to 6,494.68, 8,962.46 and 3,700.04 is: 5,105.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.68 : 8,962.46 = 3,700.04 : x
  2. Step 2: Convert to fraction form
    6,494.68/8,962.46 = 3,700.04/x
  3. Step 3: Cross multiply
    6,494.68x = 8,962.46 × 3,700.04
  4. Step 4: Simplify right side
    6,494.68x = 33,161,460.50
  5. Step 5: Solve for x
    x = 33,161,460.50/6,494.68
  6. Step 6: Final answer
    x = 5,105.94

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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.