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Finding the Fourth Proportional to 6,116.40, 8,436.36 and 3,848.40

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Solution

The fourth proportional to 6,116.40, 8,436.36 and 3,848.40 is: 5,308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116.40 : 8,436.36 = 3,848.40 : x
  2. Step 2: Convert to fraction form
    6,116.40/8,436.36 = 3,848.40/x
  3. Step 3: Cross multiply
    6,116.40x = 8,436.36 × 3,848.40
  4. Step 4: Simplify right side
    6,116.40x = 32,466,487.82
  5. Step 5: Solve for x
    x = 32,466,487.82/6,116.40
  6. Step 6: Final answer
    x = 5,308.10

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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.