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Finding the Fourth Proportional to 5,510.96, 8,266.89 and 2,587.67

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Solution

The fourth proportional to 5,510.96, 8,266.89 and 2,587.67 is: 3,881.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,510.96 : 8,266.89 = 2,587.67 : x
  2. Step 2: Convert to fraction form
    5,510.96/8,266.89 = 2,587.67/x
  3. Step 3: Cross multiply
    5,510.96x = 8,266.89 × 2,587.67
  4. Step 4: Simplify right side
    5,510.96x = 21,391,983.25
  5. Step 5: Solve for x
    x = 21,391,983.25/5,510.96
  6. Step 6: Final answer
    x = 3,881.72

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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.