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Finding the Fourth Proportional to 5,633.62, 7,773.84 and 3,275.92

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Solution

The fourth proportional to 5,633.62, 7,773.84 and 3,275.92 is: 4,520.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.62 : 7,773.84 = 3,275.92 : x
  2. Step 2: Convert to fraction form
    5,633.62/7,773.84 = 3,275.92/x
  3. Step 3: Cross multiply
    5,633.62x = 7,773.84 × 3,275.92
  4. Step 4: Simplify right side
    5,633.62x = 25,466,477.93
  5. Step 5: Solve for x
    x = 25,466,477.93/5,633.62
  6. Step 6: Final answer
    x = 4,520.45

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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.