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Finding the Fourth Proportional to 4,702.75, 7,052.34 and 1,539.46

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Solution

The fourth proportional to 4,702.75, 7,052.34 and 1,539.46 is: 2,308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.75 : 7,052.34 = 1,539.46 : x
  2. Step 2: Convert to fraction form
    4,702.75/7,052.34 = 1,539.46/x
  3. Step 3: Cross multiply
    4,702.75x = 7,052.34 × 1,539.46
  4. Step 4: Simplify right side
    4,702.75x = 10,856,770.26
  5. Step 5: Solve for x
    x = 10,856,770.26/4,702.75
  6. Step 6: Final answer
    x = 2,308.60

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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.