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Finding the Fourth Proportional to 4,332.86, 6,494.70 and 2,138.84

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Solution

The fourth proportional to 4,332.86, 6,494.70 and 2,138.84 is: 3,205.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332.86 : 6,494.70 = 2,138.84 : x
  2. Step 2: Convert to fraction form
    4,332.86/6,494.70 = 2,138.84/x
  3. Step 3: Cross multiply
    4,332.86x = 6,494.70 × 2,138.84
  4. Step 4: Simplify right side
    4,332.86x = 13,891,124.15
  5. Step 5: Solve for x
    x = 13,891,124.15/4,332.86
  6. Step 6: Final answer
    x = 3,205.99

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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.