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Finding the Fourth Proportional to 3,590.42, 4,956.13 and 2,098.82

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Solution

The fourth proportional to 3,590.42, 4,956.13 and 2,098.82 is: 2,897.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.42 : 4,956.13 = 2,098.82 : x
  2. Step 2: Convert to fraction form
    3,590.42/4,956.13 = 2,098.82/x
  3. Step 3: Cross multiply
    3,590.42x = 4,956.13 × 2,098.82
  4. Step 4: Simplify right side
    3,590.42x = 10,401,989.49
  5. Step 5: Solve for x
    x = 10,401,989.49/3,590.42
  6. Step 6: Final answer
    x = 2,897.16

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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.