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Finding the Fourth Proportional to 4,701.67, 6,488.99 and 2,711.83

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Solution

The fourth proportional to 4,701.67, 6,488.99 and 2,711.83 is: 3,742.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.67 : 6,488.99 = 2,711.83 : x
  2. Step 2: Convert to fraction form
    4,701.67/6,488.99 = 2,711.83/x
  3. Step 3: Cross multiply
    4,701.67x = 6,488.99 × 2,711.83
  4. Step 4: Simplify right side
    4,701.67x = 17,597,024.19
  5. Step 5: Solve for x
    x = 17,597,024.19/4,701.67
  6. Step 6: Final answer
    x = 3,742.72

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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.