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Finding the Fourth Proportional to 6,139.08, 8,470.44 and 3,486

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Solution

The fourth proportional to 6,139.08, 8,470.44 and 3,486 is: 4,809.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.08 : 8,470.44 = 3,486 : x
  2. Step 2: Convert to fraction form
    6,139.08/8,470.44 = 3,486/x
  3. Step 3: Cross multiply
    6,139.08x = 8,470.44 × 3,486
  4. Step 4: Simplify right side
    6,139.08x = 29,527,953.84
  5. Step 5: Solve for x
    x = 29,527,953.84/6,139.08
  6. Step 6: Final answer
    x = 4,809.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.