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Finding the Fourth Proportional to 5,877.34, 8,816.22 and 1,981.78

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Solution

The fourth proportional to 5,877.34, 8,816.22 and 1,981.78 is: 2,972.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.34 : 8,816.22 = 1,981.78 : x
  2. Step 2: Convert to fraction form
    5,877.34/8,816.22 = 1,981.78/x
  3. Step 3: Cross multiply
    5,877.34x = 8,816.22 × 1,981.78
  4. Step 4: Simplify right side
    5,877.34x = 17,471,808.47
  5. Step 5: Solve for x
    x = 17,471,808.47/5,877.34
  6. Step 6: Final answer
    x = 2,972.74

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1.5x scale

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.