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Finding the Fourth Proportional to 5,061.54, 7,586.10 and 4,138.95

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Solution

The fourth proportional to 5,061.54, 7,586.10 and 4,138.95 is: 6,203.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,061.54 : 7,586.10 = 4,138.95 : x
  2. Step 2: Convert to fraction form
    5,061.54/7,586.10 = 4,138.95/x
  3. Step 3: Cross multiply
    5,061.54x = 7,586.10 × 4,138.95
  4. Step 4: Simplify right side
    5,061.54x = 31,398,488.60
  5. Step 5: Solve for x
    x = 31,398,488.60/5,061.54
  6. Step 6: Final answer
    x = 6,203.35

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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.