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Finding the Fourth Proportional to 4,538.32, 6,807.10 and 1,251.16

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Solution

The fourth proportional to 4,538.32, 6,807.10 and 1,251.16 is: 1,876.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.32 : 6,807.10 = 1,251.16 : x
  2. Step 2: Convert to fraction form
    4,538.32/6,807.10 = 1,251.16/x
  3. Step 3: Cross multiply
    4,538.32x = 6,807.10 × 1,251.16
  4. Step 4: Simplify right side
    4,538.32x = 8,516,771.24
  5. Step 5: Solve for x
    x = 8,516,771.24/4,538.32
  6. Step 6: Final answer
    x = 1,876.64

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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.