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Finding the Fourth Proportional to 5,920.54, 8,881.29 and 1,971.66

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Solution

The fourth proportional to 5,920.54, 8,881.29 and 1,971.66 is: 2,957.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,920.54 : 8,881.29 = 1,971.66 : x
  2. Step 2: Convert to fraction form
    5,920.54/8,881.29 = 1,971.66/x
  3. Step 3: Cross multiply
    5,920.54x = 8,881.29 × 1,971.66
  4. Step 4: Simplify right side
    5,920.54x = 17,510,884.24
  5. Step 5: Solve for x
    x = 17,510,884.24/5,920.54
  6. Step 6: Final answer
    x = 2,957.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.