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Finding the Fourth Proportional to 6,165.60, 8,510.24 and 3,926.40

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Solution

The fourth proportional to 6,165.60, 8,510.24 and 3,926.40 is: 5,419.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.60 : 8,510.24 = 3,926.40 : x
  2. Step 2: Convert to fraction form
    6,165.60/8,510.24 = 3,926.40/x
  3. Step 3: Cross multiply
    6,165.60x = 8,510.24 × 3,926.40
  4. Step 4: Simplify right side
    6,165.60x = 33,414,606.34
  5. Step 5: Solve for x
    x = 33,414,606.34/6,165.60
  6. Step 6: Final answer
    x = 5,419.52

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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.