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Finding the Fourth Proportional to 4,258.29, 6,387.71 and 1,336.71

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Solution

The fourth proportional to 4,258.29, 6,387.71 and 1,336.71 is: 2,005.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.29 : 6,387.71 = 1,336.71 : x
  2. Step 2: Convert to fraction form
    4,258.29/6,387.71 = 1,336.71/x
  3. Step 3: Cross multiply
    4,258.29x = 6,387.71 × 1,336.71
  4. Step 4: Simplify right side
    4,258.29x = 8,538,509.15
  5. Step 5: Solve for x
    x = 8,538,509.15/4,258.29
  6. Step 6: Final answer
    x = 2,005.15

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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.