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Finding the Fourth Proportional to 3,590.40, 4,954.08 and 2,263.20

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Solution

The fourth proportional to 3,590.40, 4,954.08 and 2,263.20 is: 3,122.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.40 : 4,954.08 = 2,263.20 : x
  2. Step 2: Convert to fraction form
    3,590.40/4,954.08 = 2,263.20/x
  3. Step 3: Cross multiply
    3,590.40x = 4,954.08 × 2,263.20
  4. Step 4: Simplify right side
    3,590.40x = 11,212,073.86
  5. Step 5: Solve for x
    x = 11,212,073.86/3,590.40
  6. Step 6: Final answer
    x = 3,122.79

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