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Finding the Fourth Proportional to 4,697.68, 6,476.88 and 3,520.48

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Solution

The fourth proportional to 4,697.68, 6,476.88 and 3,520.48 is: 4,853.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.68 : 6,476.88 = 3,520.48 : x
  2. Step 2: Convert to fraction form
    4,697.68/6,476.88 = 3,520.48/x
  3. Step 3: Cross multiply
    4,697.68x = 6,476.88 × 3,520.48
  4. Step 4: Simplify right side
    4,697.68x = 22,801,726.50
  5. Step 5: Solve for x
    x = 22,801,726.50/4,697.68
  6. Step 6: Final answer
    x = 4,853.83

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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.