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Finding the Fourth Proportional to 4,476.70, 6,177.84 and 2,708.30

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Solution

The fourth proportional to 4,476.70, 6,177.84 and 2,708.30 is: 3,737.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476.70 : 6,177.84 = 2,708.30 : x
  2. Step 2: Convert to fraction form
    4,476.70/6,177.84 = 2,708.30/x
  3. Step 3: Cross multiply
    4,476.70x = 6,177.84 × 2,708.30
  4. Step 4: Simplify right side
    4,476.70x = 16,731,449.36
  5. Step 5: Solve for x
    x = 16,731,449.36/4,476.70
  6. Step 6: Final answer
    x = 3,737.45

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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.