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Finding the Fourth Proportional to 3,876.16, 5,349.21 and 2,384.95

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Solution

The fourth proportional to 3,876.16, 5,349.21 and 2,384.95 is: 3,291.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.16 : 5,349.21 = 2,384.95 : x
  2. Step 2: Convert to fraction form
    3,876.16/5,349.21 = 2,384.95/x
  3. Step 3: Cross multiply
    3,876.16x = 5,349.21 × 2,384.95
  4. Step 4: Simplify right side
    3,876.16x = 12,757,598.39
  5. Step 5: Solve for x
    x = 12,757,598.39/3,876.16
  6. Step 6: Final answer
    x = 3,291.30

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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.