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Finding the Fourth Proportional to 5,712.71, 8,551.29 and 5,228.24

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Solution

The fourth proportional to 5,712.71, 8,551.29 and 5,228.24 is: 7,826.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.71 : 8,551.29 = 5,228.24 : x
  2. Step 2: Convert to fraction form
    5,712.71/8,551.29 = 5,228.24/x
  3. Step 3: Cross multiply
    5,712.71x = 8,551.29 × 5,228.24
  4. Step 4: Simplify right side
    5,712.71x = 44,708,153.67
  5. Step 5: Solve for x
    x = 44,708,153.67/5,712.71
  6. Step 6: Final answer
    x = 7,826.09

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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.