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Finding the Fourth Proportional to 5,040.78, 7,557.13 and 1,920.16

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Solution

The fourth proportional to 5,040.78, 7,557.13 and 1,920.16 is: 2,878.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,040.78 : 7,557.13 = 1,920.16 : x
  2. Step 2: Convert to fraction form
    5,040.78/7,557.13 = 1,920.16/x
  3. Step 3: Cross multiply
    5,040.78x = 7,557.13 × 1,920.16
  4. Step 4: Simplify right side
    5,040.78x = 14,510,898.74
  5. Step 5: Solve for x
    x = 14,510,898.74/5,040.78
  6. Step 6: Final answer
    x = 2,878.70

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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.