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Finding the Fourth Proportional to 4,099.78, 6,148.37 and 1,325.78

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Solution

The fourth proportional to 4,099.78, 6,148.37 and 1,325.78 is: 1,988.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.78 : 6,148.37 = 1,325.78 : x
  2. Step 2: Convert to fraction form
    4,099.78/6,148.37 = 1,325.78/x
  3. Step 3: Cross multiply
    4,099.78x = 6,148.37 × 1,325.78
  4. Step 4: Simplify right side
    4,099.78x = 8,151,381.61
  5. Step 5: Solve for x
    x = 8,151,381.61/4,099.78
  6. Step 6: Final answer
    x = 1,988.25

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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.