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Finding the Fourth Proportional to 3,026.71, 4,548.17 and 2,645.74

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Solution

The fourth proportional to 3,026.71, 4,548.17 and 2,645.74 is: 3,975.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.71 : 4,548.17 = 2,645.74 : x
  2. Step 2: Convert to fraction form
    3,026.71/4,548.17 = 2,645.74/x
  3. Step 3: Cross multiply
    3,026.71x = 4,548.17 × 2,645.74
  4. Step 4: Simplify right side
    3,026.71x = 12,033,275.30
  5. Step 5: Solve for x
    x = 12,033,275.30/3,026.71
  6. Step 6: Final answer
    x = 3,975.69

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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.