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Finding the Fourth Proportional to 4,232.56, 6,348 and 1,310.16

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Solution

The fourth proportional to 4,232.56, 6,348 and 1,310.16 is: 1,964.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.56 : 6,348 = 1,310.16 : x
  2. Step 2: Convert to fraction form
    4,232.56/6,348 = 1,310.16/x
  3. Step 3: Cross multiply
    4,232.56x = 6,348 × 1,310.16
  4. Step 4: Simplify right side
    4,232.56x = 8,316,895.68
  5. Step 5: Solve for x
    x = 8,316,895.68/4,232.56
  6. Step 6: Final answer
    x = 1,964.98

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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.