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Finding the Fourth Proportional to 5,659.44, 7,809.12 and 3,562.08

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Solution

The fourth proportional to 5,659.44, 7,809.12 and 3,562.08 is: 4,915.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.44 : 7,809.12 = 3,562.08 : x
  2. Step 2: Convert to fraction form
    5,659.44/7,809.12 = 3,562.08/x
  3. Step 3: Cross multiply
    5,659.44x = 7,809.12 × 3,562.08
  4. Step 4: Simplify right side
    5,659.44x = 27,816,710.17
  5. Step 5: Solve for x
    x = 27,816,710.17/5,659.44
  6. Step 6: Final answer
    x = 4,915.10

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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.