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Finding the Fourth Proportional to 3,854.16, 5,767.56 and 3,026.74

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Solution

The fourth proportional to 3,854.16, 5,767.56 and 3,026.74 is: 4,529.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.16 : 5,767.56 = 3,026.74 : x
  2. Step 2: Convert to fraction form
    3,854.16/5,767.56 = 3,026.74/x
  3. Step 3: Cross multiply
    3,854.16x = 5,767.56 × 3,026.74
  4. Step 4: Simplify right side
    3,854.16x = 17,456,904.55
  5. Step 5: Solve for x
    x = 17,456,904.55/3,854.16
  6. Step 6: Final answer
    x = 4,529.37

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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.