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Finding the Fourth Proportional to 4,702.01, 7,052.25 and 1,414.54

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Solution

The fourth proportional to 4,702.01, 7,052.25 and 1,414.54 is: 2,121.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.01 : 7,052.25 = 1,414.54 : x
  2. Step 2: Convert to fraction form
    4,702.01/7,052.25 = 1,414.54/x
  3. Step 3: Cross multiply
    4,702.01x = 7,052.25 × 1,414.54
  4. Step 4: Simplify right side
    4,702.01x = 9,975,654.45
  5. Step 5: Solve for x
    x = 9,975,654.45/4,702.01
  6. Step 6: Final answer
    x = 2,121.57

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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.