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Finding the Fourth Proportional to 5,191.52, 7,785.45 and 4,149.05

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Solution

The fourth proportional to 5,191.52, 7,785.45 and 4,149.05 is: 6,222.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.52 : 7,785.45 = 4,149.05 : x
  2. Step 2: Convert to fraction form
    5,191.52/7,785.45 = 4,149.05/x
  3. Step 3: Cross multiply
    5,191.52x = 7,785.45 × 4,149.05
  4. Step 4: Simplify right side
    5,191.52x = 32,302,182.40
  5. Step 5: Solve for x
    x = 32,302,182.40/5,191.52
  6. Step 6: Final answer
    x = 6,222.11

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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.