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Finding the Fourth Proportional to 4,432.65, 6,648.99 and 2,091.90

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Solution

The fourth proportional to 4,432.65, 6,648.99 and 2,091.90 is: 3,137.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,432.65 : 6,648.99 = 2,091.90 : x
  2. Step 2: Convert to fraction form
    4,432.65/6,648.99 = 2,091.90/x
  3. Step 3: Cross multiply
    4,432.65x = 6,648.99 × 2,091.90
  4. Step 4: Simplify right side
    4,432.65x = 13,909,022.18
  5. Step 5: Solve for x
    x = 13,909,022.18/4,432.65
  6. Step 6: Final answer
    x = 3,137.86

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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.