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Finding the Fourth Proportional to 5,790.11, 8,685.17 and 1,407.54

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Solution

The fourth proportional to 5,790.11, 8,685.17 and 1,407.54 is: 2,111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.11 : 8,685.17 = 1,407.54 : x
  2. Step 2: Convert to fraction form
    5,790.11/8,685.17 = 1,407.54/x
  3. Step 3: Cross multiply
    5,790.11x = 8,685.17 × 1,407.54
  4. Step 4: Simplify right side
    5,790.11x = 12,224,724.18
  5. Step 5: Solve for x
    x = 12,224,724.18/5,790.11
  6. Step 6: Final answer
    x = 2,111.31

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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.