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Finding the Fourth Proportional to 5,678.74, 8,519.64 and 1,981.18

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Solution

The fourth proportional to 5,678.74, 8,519.64 and 1,981.18 is: 2,972.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.74 : 8,519.64 = 1,981.18 : x
  2. Step 2: Convert to fraction form
    5,678.74/8,519.64 = 1,981.18/x
  3. Step 3: Cross multiply
    5,678.74x = 8,519.64 × 1,981.18
  4. Step 4: Simplify right side
    5,678.74x = 16,878,940.38
  5. Step 5: Solve for x
    x = 16,878,940.38/5,678.74
  6. Step 6: Final answer
    x = 2,972.30

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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.