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Finding the Fourth Proportional to 4,672.40, 6,447.96 and 2,904.80

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Solution

The fourth proportional to 4,672.40, 6,447.96 and 2,904.80 is: 4,008.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.40 : 6,447.96 = 2,904.80 : x
  2. Step 2: Convert to fraction form
    4,672.40/6,447.96 = 2,904.80/x
  3. Step 3: Cross multiply
    4,672.40x = 6,447.96 × 2,904.80
  4. Step 4: Simplify right side
    4,672.40x = 18,730,034.21
  5. Step 5: Solve for x
    x = 18,730,034.21/4,672.40
  6. Step 6: Final answer
    x = 4,008.65

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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.