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Finding the Fourth Proportional to 5,901.85, 8,852.02 and 1,742.30

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Solution

The fourth proportional to 5,901.85, 8,852.02 and 1,742.30 is: 2,613.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.85 : 8,852.02 = 1,742.30 : x
  2. Step 2: Convert to fraction form
    5,901.85/8,852.02 = 1,742.30/x
  3. Step 3: Cross multiply
    5,901.85x = 8,852.02 × 1,742.30
  4. Step 4: Simplify right side
    5,901.85x = 15,422,891.27
  5. Step 5: Solve for x
    x = 15,422,891.27/5,901.85
  6. Step 6: Final answer
    x = 2,613.23

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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.