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Finding the Fourth Proportional to 6,494.58, 8,962.61 and 3,661.92

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Solution

The fourth proportional to 6,494.58, 8,962.61 and 3,661.92 is: 5,053.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.58 : 8,962.61 = 3,661.92 : x
  2. Step 2: Convert to fraction form
    6,494.58/8,962.61 = 3,661.92/x
  3. Step 3: Cross multiply
    6,494.58x = 8,962.61 × 3,661.92
  4. Step 4: Simplify right side
    6,494.58x = 32,820,342.50
  5. Step 5: Solve for x
    x = 32,820,342.50/6,494.58
  6. Step 6: Final answer
    x = 5,053.50

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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.