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Finding the Fourth Proportional to 4,702.54, 6,487.68 and 3,023.72

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Solution

The fourth proportional to 4,702.54, 6,487.68 and 3,023.72 is: 4,171.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.54 : 6,487.68 = 3,023.72 : x
  2. Step 2: Convert to fraction form
    4,702.54/6,487.68 = 3,023.72/x
  3. Step 3: Cross multiply
    4,702.54x = 6,487.68 × 3,023.72
  4. Step 4: Simplify right side
    4,702.54x = 19,616,927.77
  5. Step 5: Solve for x
    x = 19,616,927.77/4,702.54
  6. Step 6: Final answer
    x = 4,171.56

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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.