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Finding the Fourth Proportional to 5,440.89, 8,161.65 and 1,545

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Solution

The fourth proportional to 5,440.89, 8,161.65 and 1,545 is: 2,317.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,440.89 : 8,161.65 = 1,545 : x
  2. Step 2: Convert to fraction form
    5,440.89/8,161.65 = 1,545/x
  3. Step 3: Cross multiply
    5,440.89x = 8,161.65 × 1,545
  4. Step 4: Simplify right side
    5,440.89x = 12,609,749.25
  5. Step 5: Solve for x
    x = 12,609,749.25/5,440.89
  6. Step 6: Final answer
    x = 2,317.59

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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.