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Finding the Fourth Proportional to 3,565.40, 4,923.38 and 2,241.40

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Solution

The fourth proportional to 3,565.40, 4,923.38 and 2,241.40 is: 3,095.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.40 : 4,923.38 = 2,241.40 : x
  2. Step 2: Convert to fraction form
    3,565.40/4,923.38 = 2,241.40/x
  3. Step 3: Cross multiply
    3,565.40x = 4,923.38 × 2,241.40
  4. Step 4: Simplify right side
    3,565.40x = 11,035,263.93
  5. Step 5: Solve for x
    x = 11,035,263.93/3,565.40
  6. Step 6: Final answer
    x = 3,095.10

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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.