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Finding the Fourth Proportional to 5,154.88, 7,732.95 and 1,869.52

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Solution

The fourth proportional to 5,154.88, 7,732.95 and 1,869.52 is: 2,804.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.88 : 7,732.95 = 1,869.52 : x
  2. Step 2: Convert to fraction form
    5,154.88/7,732.95 = 1,869.52/x
  3. Step 3: Cross multiply
    5,154.88x = 7,732.95 × 1,869.52
  4. Step 4: Simplify right side
    5,154.88x = 14,456,904.68
  5. Step 5: Solve for x
    x = 14,456,904.68/5,154.88
  6. Step 6: Final answer
    x = 2,804.51

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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.