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Finding the Fourth Proportional to 4,555.38, 6,829.82 and 2,702.10

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Solution

The fourth proportional to 4,555.38, 6,829.82 and 2,702.10 is: 4,051.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,555.38 : 6,829.82 = 2,702.10 : x
  2. Step 2: Convert to fraction form
    4,555.38/6,829.82 = 2,702.10/x
  3. Step 3: Cross multiply
    4,555.38x = 6,829.82 × 2,702.10
  4. Step 4: Simplify right side
    4,555.38x = 18,454,856.62
  5. Step 5: Solve for x
    x = 18,454,856.62/4,555.38
  6. Step 6: Final answer
    x = 4,051.22

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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.