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Finding the Fourth Proportional to 5,061.16, 7,557.62 and 4,138.57

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Solution

The fourth proportional to 5,061.16, 7,557.62 and 4,138.57 is: 6,179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,061.16 : 7,557.62 = 4,138.57 : x
  2. Step 2: Convert to fraction form
    5,061.16/7,557.62 = 4,138.57/x
  3. Step 3: Cross multiply
    5,061.16x = 7,557.62 × 4,138.57
  4. Step 4: Simplify right side
    5,061.16x = 31,277,739.40
  5. Step 5: Solve for x
    x = 31,277,739.40/5,061.16
  6. Step 6: Final answer
    x = 6,179.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.