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Finding the Fourth Proportional to 4,234.57, 6,352.80 and 1,312.90

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Solution

The fourth proportional to 4,234.57, 6,352.80 and 1,312.90 is: 1,969.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.57 : 6,352.80 = 1,312.90 : x
  2. Step 2: Convert to fraction form
    4,234.57/6,352.80 = 1,312.90/x
  3. Step 3: Cross multiply
    4,234.57x = 6,352.80 × 1,312.90
  4. Step 4: Simplify right side
    4,234.57x = 8,340,591.12
  5. Step 5: Solve for x
    x = 8,340,591.12/4,234.57
  6. Step 6: Final answer
    x = 1,969.64

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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.