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Finding the Fourth Proportional to 3,590.75, 4,955.42 and 2,098.58

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Solution

The fourth proportional to 3,590.75, 4,955.42 and 2,098.58 is: 2,896.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.75 : 4,955.42 = 2,098.58 : x
  2. Step 2: Convert to fraction form
    3,590.75/4,955.42 = 2,098.58/x
  3. Step 3: Cross multiply
    3,590.75x = 4,955.42 × 2,098.58
  4. Step 4: Simplify right side
    3,590.75x = 10,399,310.03
  5. Step 5: Solve for x
    x = 10,399,310.03/3,590.75
  6. Step 6: Final answer
    x = 2,896.14

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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.