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Finding the Fourth Proportional to 5,923.32, 8,881.71 and 2,412.43

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Solution

The fourth proportional to 5,923.32, 8,881.71 and 2,412.43 is: 3,617.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,923.32 : 8,881.71 = 2,412.43 : x
  2. Step 2: Convert to fraction form
    5,923.32/8,881.71 = 2,412.43/x
  3. Step 3: Cross multiply
    5,923.32x = 8,881.71 × 2,412.43
  4. Step 4: Simplify right side
    5,923.32x = 21,426,503.66
  5. Step 5: Solve for x
    x = 21,426,503.66/5,923.32
  6. Step 6: Final answer
    x = 3,617.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.