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Finding the Fourth Proportional to 6,541.68, 9,026.76 and 3,889.20

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Solution

The fourth proportional to 6,541.68, 9,026.76 and 3,889.20 is: 5,366.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.68 : 9,026.76 = 3,889.20 : x
  2. Step 2: Convert to fraction form
    6,541.68/9,026.76 = 3,889.20/x
  3. Step 3: Cross multiply
    6,541.68x = 9,026.76 × 3,889.20
  4. Step 4: Simplify right side
    6,541.68x = 35,106,874.99
  5. Step 5: Solve for x
    x = 35,106,874.99/6,541.68
  6. Step 6: Final answer
    x = 5,366.65

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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.