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Finding the Fourth Proportional to 4,494.59, 6,742.04 and 1,207.71

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Solution

The fourth proportional to 4,494.59, 6,742.04 and 1,207.71 is: 1,811.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.59 : 6,742.04 = 1,207.71 : x
  2. Step 2: Convert to fraction form
    4,494.59/6,742.04 = 1,207.71/x
  3. Step 3: Cross multiply
    4,494.59x = 6,742.04 × 1,207.71
  4. Step 4: Simplify right side
    4,494.59x = 8,142,423.09
  5. Step 5: Solve for x
    x = 8,142,423.09/4,494.59
  6. Step 6: Final answer
    x = 1,811.61

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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.