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Finding the Fourth Proportional to 4,561.76, 6,295.20 and 2,465.88

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Solution

The fourth proportional to 4,561.76, 6,295.20 and 2,465.88 is: 3,402.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.76 : 6,295.20 = 2,465.88 : x
  2. Step 2: Convert to fraction form
    4,561.76/6,295.20 = 2,465.88/x
  3. Step 3: Cross multiply
    4,561.76x = 6,295.20 × 2,465.88
  4. Step 4: Simplify right side
    4,561.76x = 15,523,207.78
  5. Step 5: Solve for x
    x = 15,523,207.78/4,561.76
  6. Step 6: Final answer
    x = 3,402.90

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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.