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Finding the Fourth Proportional to 4,138.68, 6,208.10 and 1,541.10

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Solution

The fourth proportional to 4,138.68, 6,208.10 and 1,541.10 is: 2,311.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.68 : 6,208.10 = 1,541.10 : x
  2. Step 2: Convert to fraction form
    4,138.68/6,208.10 = 1,541.10/x
  3. Step 3: Cross multiply
    4,138.68x = 6,208.10 × 1,541.10
  4. Step 4: Simplify right side
    4,138.68x = 9,567,302.91
  5. Step 5: Solve for x
    x = 9,567,302.91/4,138.68
  6. Step 6: Final answer
    x = 2,311.68

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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.