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Finding the Fourth Proportional to 4,239.86, 6,358.22 and 1,465.78

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Solution

The fourth proportional to 4,239.86, 6,358.22 and 1,465.78 is: 2,198.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,239.86 : 6,358.22 = 1,465.78 : x
  2. Step 2: Convert to fraction form
    4,239.86/6,358.22 = 1,465.78/x
  3. Step 3: Cross multiply
    4,239.86x = 6,358.22 × 1,465.78
  4. Step 4: Simplify right side
    4,239.86x = 9,319,751.71
  5. Step 5: Solve for x
    x = 9,319,751.71/4,239.86
  6. Step 6: Final answer
    x = 2,198.13

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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.