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Finding the Fourth Proportional to 4,702.70, 7,034.61 and 4,275.02

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Solution

The fourth proportional to 4,702.70, 7,034.61 and 4,275.02 is: 6,394.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.70 : 7,034.61 = 4,275.02 : x
  2. Step 2: Convert to fraction form
    4,702.70/7,034.61 = 4,275.02/x
  3. Step 3: Cross multiply
    4,702.70x = 7,034.61 × 4,275.02
  4. Step 4: Simplify right side
    4,702.70x = 30,073,098.44
  5. Step 5: Solve for x
    x = 30,073,098.44/4,702.70
  6. Step 6: Final answer
    x = 6,394.86

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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.