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Finding the Fourth Proportional to 5,702.25, 8,547.56 and 3,231.86

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Solution

The fourth proportional to 5,702.25, 8,547.56 and 3,231.86 is: 4,844.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.25 : 8,547.56 = 3,231.86 : x
  2. Step 2: Convert to fraction form
    5,702.25/8,547.56 = 3,231.86/x
  3. Step 3: Cross multiply
    5,702.25x = 8,547.56 × 3,231.86
  4. Step 4: Simplify right side
    5,702.25x = 27,624,517.26
  5. Step 5: Solve for x
    x = 27,624,517.26/5,702.25
  6. Step 6: Final answer
    x = 4,844.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.