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Finding the Fourth Proportional to 4,498.58, 6,747.80 and 2,032.74

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Solution

The fourth proportional to 4,498.58, 6,747.80 and 2,032.74 is: 3,049.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.58 : 6,747.80 = 2,032.74 : x
  2. Step 2: Convert to fraction form
    4,498.58/6,747.80 = 2,032.74/x
  3. Step 3: Cross multiply
    4,498.58x = 6,747.80 × 2,032.74
  4. Step 4: Simplify right side
    4,498.58x = 13,716,512.81
  5. Step 5: Solve for x
    x = 13,716,512.81/4,498.58
  6. Step 6: Final answer
    x = 3,049.07

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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.