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Finding the Fourth Proportional to 4,702.48, 6,487.33 and 3,023.58

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Solution

The fourth proportional to 4,702.48, 6,487.33 and 3,023.58 is: 4,171.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.48 : 6,487.33 = 3,023.58 : x
  2. Step 2: Convert to fraction form
    4,702.48/6,487.33 = 3,023.58/x
  3. Step 3: Cross multiply
    4,702.48x = 6,487.33 × 3,023.58
  4. Step 4: Simplify right side
    4,702.48x = 19,614,961.24
  5. Step 5: Solve for x
    x = 19,614,961.24/4,702.48
  6. Step 6: Final answer
    x = 4,171.20

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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.