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Finding the Fourth Proportional to 3,525.71, 5,290.85 and 1,678.91

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Solution

The fourth proportional to 3,525.71, 5,290.85 and 1,678.91 is: 2,519.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.71 : 5,290.85 = 1,678.91 : x
  2. Step 2: Convert to fraction form
    3,525.71/5,290.85 = 1,678.91/x
  3. Step 3: Cross multiply
    3,525.71x = 5,290.85 × 1,678.91
  4. Step 4: Simplify right side
    3,525.71x = 8,882,826.12
  5. Step 5: Solve for x
    x = 8,882,826.12/3,525.71
  6. Step 6: Final answer
    x = 2,519.45

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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.