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Finding the Fourth Proportional to 5,656.25, 7,801.61 and 3,532.83

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Solution

The fourth proportional to 5,656.25, 7,801.61 and 3,532.83 is: 4,872.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.25 : 7,801.61 = 3,532.83 : x
  2. Step 2: Convert to fraction form
    5,656.25/7,801.61 = 3,532.83/x
  3. Step 3: Cross multiply
    5,656.25x = 7,801.61 × 3,532.83
  4. Step 4: Simplify right side
    5,656.25x = 27,561,744.19
  5. Step 5: Solve for x
    x = 27,561,744.19/5,656.25
  6. Step 6: Final answer
    x = 4,872.80

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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.