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Finding the Fourth Proportional to 5,731.76, 8,590.08 and 2,267.12

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Solution

The fourth proportional to 5,731.76, 8,590.08 and 2,267.12 is: 3,397.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.76 : 8,590.08 = 2,267.12 : x
  2. Step 2: Convert to fraction form
    5,731.76/8,590.08 = 2,267.12/x
  3. Step 3: Cross multiply
    5,731.76x = 8,590.08 × 2,267.12
  4. Step 4: Simplify right side
    5,731.76x = 19,474,742.17
  5. Step 5: Solve for x
    x = 19,474,742.17/5,731.76
  6. Step 6: Final answer
    x = 3,397.69

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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.