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Finding the Fourth Proportional to 4,337.62, 6,506.31 and 1,217.65

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Solution

The fourth proportional to 4,337.62, 6,506.31 and 1,217.65 is: 1,826.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,337.62 : 6,506.31 = 1,217.65 : x
  2. Step 2: Convert to fraction form
    4,337.62/6,506.31 = 1,217.65/x
  3. Step 3: Cross multiply
    4,337.62x = 6,506.31 × 1,217.65
  4. Step 4: Simplify right side
    4,337.62x = 7,922,402.02
  5. Step 5: Solve for x
    x = 7,922,402.02/4,337.62
  6. Step 6: Final answer
    x = 1,826.44

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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.