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Finding the Fourth Proportional to 5,790.79, 8,686.07 and 1,408.27

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Solution

The fourth proportional to 5,790.79, 8,686.07 and 1,408.27 is: 2,112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.79 : 8,686.07 = 1,408.27 : x
  2. Step 2: Convert to fraction form
    5,790.79/8,686.07 = 1,408.27/x
  3. Step 3: Cross multiply
    5,790.79x = 8,686.07 × 1,408.27
  4. Step 4: Simplify right side
    5,790.79x = 12,232,324.76
  5. Step 5: Solve for x
    x = 12,232,324.76/5,790.79
  6. Step 6: Final answer
    x = 2,112.38

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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.