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Finding the Fourth Proportional to 6,178.52, 8,521.98 and 3,821.78

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Solution

The fourth proportional to 6,178.52, 8,521.98 and 3,821.78 is: 5,271.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.52 : 8,521.98 = 3,821.78 : x
  2. Step 2: Convert to fraction form
    6,178.52/8,521.98 = 3,821.78/x
  3. Step 3: Cross multiply
    6,178.52x = 8,521.98 × 3,821.78
  4. Step 4: Simplify right side
    6,178.52x = 32,569,132.72
  5. Step 5: Solve for x
    x = 32,569,132.72/6,178.52
  6. Step 6: Final answer
    x = 5,271.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.