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Finding the Fourth Proportional to 5,725.16, 8,586.16 and 2,026.91

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Solution

The fourth proportional to 5,725.16, 8,586.16 and 2,026.91 is: 3,039.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.16 : 8,586.16 = 2,026.91 : x
  2. Step 2: Convert to fraction form
    5,725.16/8,586.16 = 2,026.91/x
  3. Step 3: Cross multiply
    5,725.16x = 8,586.16 × 2,026.91
  4. Step 4: Simplify right side
    5,725.16x = 17,403,373.57
  5. Step 5: Solve for x
    x = 17,403,373.57/5,725.16
  6. Step 6: Final answer
    x = 3,039.81

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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.