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Finding the Fourth Proportional to 3,590.87, 4,956.42 and 2,174.55

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Solution

The fourth proportional to 3,590.87, 4,956.42 and 2,174.55 is: 3,001.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.87 : 4,956.42 = 2,174.55 : x
  2. Step 2: Convert to fraction form
    3,590.87/4,956.42 = 2,174.55/x
  3. Step 3: Cross multiply
    3,590.87x = 4,956.42 × 2,174.55
  4. Step 4: Simplify right side
    3,590.87x = 10,777,983.11
  5. Step 5: Solve for x
    x = 10,777,983.11/3,590.87
  6. Step 6: Final answer
    x = 3,001.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.