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Finding the Fourth Proportional to 4,238.64, 6,358.74 and 1,316.25

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Solution

The fourth proportional to 4,238.64, 6,358.74 and 1,316.25 is: 1,974.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.64 : 6,358.74 = 1,316.25 : x
  2. Step 2: Convert to fraction form
    4,238.64/6,358.74 = 1,316.25/x
  3. Step 3: Cross multiply
    4,238.64x = 6,358.74 × 1,316.25
  4. Step 4: Simplify right side
    4,238.64x = 8,369,691.53
  5. Step 5: Solve for x
    x = 8,369,691.53/4,238.64
  6. Step 6: Final answer
    x = 1,974.62

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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.