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Finding the Fourth Proportional to 4,752.66, 7,129.18 and 1,465.78

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Solution

The fourth proportional to 4,752.66, 7,129.18 and 1,465.78 is: 2,198.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.66 : 7,129.18 = 1,465.78 : x
  2. Step 2: Convert to fraction form
    4,752.66/7,129.18 = 1,465.78/x
  3. Step 3: Cross multiply
    4,752.66x = 7,129.18 × 1,465.78
  4. Step 4: Simplify right side
    4,752.66x = 10,449,809.46
  5. Step 5: Solve for x
    x = 10,449,809.46/4,752.66
  6. Step 6: Final answer
    x = 2,198.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.