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Finding the Fourth Proportional to 5,483.97, 8,227.06 and 1,785.20

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Solution

The fourth proportional to 5,483.97, 8,227.06 and 1,785.20 is: 2,678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,483.97 : 8,227.06 = 1,785.20 : x
  2. Step 2: Convert to fraction form
    5,483.97/8,227.06 = 1,785.20/x
  3. Step 3: Cross multiply
    5,483.97x = 8,227.06 × 1,785.20
  4. Step 4: Simplify right side
    5,483.97x = 14,686,953.33
  5. Step 5: Solve for x
    x = 14,686,953.33/5,483.97
  6. Step 6: Final answer
    x = 2,678.16

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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.