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Finding the Fourth Proportional to 4,752.56, 7,129.94 and 1,465.58

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Solution

The fourth proportional to 4,752.56, 7,129.94 and 1,465.58 is: 2,198.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.56 : 7,129.94 = 1,465.58 : x
  2. Step 2: Convert to fraction form
    4,752.56/7,129.94 = 1,465.58/x
  3. Step 3: Cross multiply
    4,752.56x = 7,129.94 × 1,465.58
  4. Step 4: Simplify right side
    4,752.56x = 10,449,497.47
  5. Step 5: Solve for x
    x = 10,449,497.47/4,752.56
  6. Step 6: Final answer
    x = 2,198.71

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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.