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Finding the Fourth Proportional to 4,573.89, 6,311.97 and 2,478

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Solution

The fourth proportional to 4,573.89, 6,311.97 and 2,478 is: 3,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.89 : 6,311.97 = 2,478 : x
  2. Step 2: Convert to fraction form
    4,573.89/6,311.97 = 2,478/x
  3. Step 3: Cross multiply
    4,573.89x = 6,311.97 × 2,478
  4. Step 4: Simplify right side
    4,573.89x = 15,641,061.66
  5. Step 5: Solve for x
    x = 15,641,061.66/4,573.89
  6. Step 6: Final answer
    x = 3,419.64

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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.