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Finding the Fourth Proportional to 4,704, 6,468.48 and 4,081.92

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Solution

The fourth proportional to 4,704, 6,468.48 and 4,081.92 is: 5,613.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704 : 6,468.48 = 4,081.92 : x
  2. Step 2: Convert to fraction form
    4,704/6,468.48 = 4,081.92/x
  3. Step 3: Cross multiply
    4,704x = 6,468.48 × 4,081.92
  4. Step 4: Simplify right side
    4,704x = 26,403,817.88
  5. Step 5: Solve for x
    x = 26,403,817.88/4,704
  6. Step 6: Final answer
    x = 5,613.06

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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.