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Finding the Fourth Proportional to 4,854.71, 6,697.59 and 2,729.76

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Solution

The fourth proportional to 4,854.71, 6,697.59 and 2,729.76 is: 3,765.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.71 : 6,697.59 = 2,729.76 : x
  2. Step 2: Convert to fraction form
    4,854.71/6,697.59 = 2,729.76/x
  3. Step 3: Cross multiply
    4,854.71x = 6,697.59 × 2,729.76
  4. Step 4: Simplify right side
    4,854.71x = 18,282,813.28
  5. Step 5: Solve for x
    x = 18,282,813.28/4,854.71
  6. Step 6: Final answer
    x = 3,765.99

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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.