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Finding the Fourth Proportional to 4,701.54, 7,052.88 and 1,538.90

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Solution

The fourth proportional to 4,701.54, 7,052.88 and 1,538.90 is: 2,308.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.54 : 7,052.88 = 1,538.90 : x
  2. Step 2: Convert to fraction form
    4,701.54/7,052.88 = 1,538.90/x
  3. Step 3: Cross multiply
    4,701.54x = 7,052.88 × 1,538.90
  4. Step 4: Simplify right side
    4,701.54x = 10,853,677.03
  5. Step 5: Solve for x
    x = 10,853,677.03/4,701.54
  6. Step 6: Final answer
    x = 2,308.54

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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.