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Finding the Fourth Proportional to 4,761.48, 7,146.90 and 2,574.90

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Solution

The fourth proportional to 4,761.48, 7,146.90 and 2,574.90 is: 3,864.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.48 : 7,146.90 = 2,574.90 : x
  2. Step 2: Convert to fraction form
    4,761.48/7,146.90 = 2,574.90/x
  3. Step 3: Cross multiply
    4,761.48x = 7,146.90 × 2,574.90
  4. Step 4: Simplify right side
    4,761.48x = 18,402,552.81
  5. Step 5: Solve for x
    x = 18,402,552.81/4,761.48
  6. Step 6: Final answer
    x = 3,864.88

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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.