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Finding the Fourth Proportional to 4,358.80, 6,538.20 and 3,702.70

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Solution

The fourth proportional to 4,358.80, 6,538.20 and 3,702.70 is: 5,554.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,358.80 : 6,538.20 = 3,702.70 : x
  2. Step 2: Convert to fraction form
    4,358.80/6,538.20 = 3,702.70/x
  3. Step 3: Cross multiply
    4,358.80x = 6,538.20 × 3,702.70
  4. Step 4: Simplify right side
    4,358.80x = 24,208,993.14
  5. Step 5: Solve for x
    x = 24,208,993.14/4,358.80
  6. Step 6: Final answer
    x = 5,554.05

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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.