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Finding the Fourth Proportional to 4,234.53, 6,352.10 and 1,461.16

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Solution

The fourth proportional to 4,234.53, 6,352.10 and 1,461.16 is: 2,191.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.53 : 6,352.10 = 1,461.16 : x
  2. Step 2: Convert to fraction form
    4,234.53/6,352.10 = 1,461.16/x
  3. Step 3: Cross multiply
    4,234.53x = 6,352.10 × 1,461.16
  4. Step 4: Simplify right side
    4,234.53x = 9,281,434.44
  5. Step 5: Solve for x
    x = 9,281,434.44/4,234.53
  6. Step 6: Final answer
    x = 2,191.85

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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.