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Finding the Fourth Proportional to 5,407.71, 8,111.61 and 1,512.06

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Solution

The fourth proportional to 5,407.71, 8,111.61 and 1,512.06 is: 2,268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.71 : 8,111.61 = 1,512.06 : x
  2. Step 2: Convert to fraction form
    5,407.71/8,111.61 = 1,512.06/x
  3. Step 3: Cross multiply
    5,407.71x = 8,111.61 × 1,512.06
  4. Step 4: Simplify right side
    5,407.71x = 12,265,241.02
  5. Step 5: Solve for x
    x = 12,265,241.02/5,407.71
  6. Step 6: Final answer
    x = 2,268.10

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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.