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Finding the Fourth Proportional to 4,354.65, 6,500.09 and 3,742.29

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Solution

The fourth proportional to 4,354.65, 6,500.09 and 3,742.29 is: 5,586.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354.65 : 6,500.09 = 3,742.29 : x
  2. Step 2: Convert to fraction form
    4,354.65/6,500.09 = 3,742.29/x
  3. Step 3: Cross multiply
    4,354.65x = 6,500.09 × 3,742.29
  4. Step 4: Simplify right side
    4,354.65x = 24,325,231.16
  5. Step 5: Solve for x
    x = 24,325,231.16/4,354.65
  6. Step 6: Final answer
    x = 5,586.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.