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Finding the Fourth Proportional to 3,931.69, 5,426.50 and 2,254.22

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Solution

The fourth proportional to 3,931.69, 5,426.50 and 2,254.22 is: 3,111.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,931.69 : 5,426.50 = 2,254.22 : x
  2. Step 2: Convert to fraction form
    3,931.69/5,426.50 = 2,254.22/x
  3. Step 3: Cross multiply
    3,931.69x = 5,426.50 × 2,254.22
  4. Step 4: Simplify right side
    3,931.69x = 12,232,524.83
  5. Step 5: Solve for x
    x = 12,232,524.83/3,931.69
  6. Step 6: Final answer
    x = 3,111.26

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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.