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Finding the Fourth Proportional to 4,867.62, 6,702.56 and 4,080.30

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Solution

The fourth proportional to 4,867.62, 6,702.56 and 4,080.30 is: 5,618.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.62 : 6,702.56 = 4,080.30 : x
  2. Step 2: Convert to fraction form
    4,867.62/6,702.56 = 4,080.30/x
  3. Step 3: Cross multiply
    4,867.62x = 6,702.56 × 4,080.30
  4. Step 4: Simplify right side
    4,867.62x = 27,348,455.57
  5. Step 5: Solve for x
    x = 27,348,455.57/4,867.62
  6. Step 6: Final answer
    x = 5,618.45

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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.