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Finding the Fourth Proportional to 5,894.50, 8,844.18 and 2,434.18

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Solution

The fourth proportional to 5,894.50, 8,844.18 and 2,434.18 is: 3,652.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.50 : 8,844.18 = 2,434.18 : x
  2. Step 2: Convert to fraction form
    5,894.50/8,844.18 = 2,434.18/x
  3. Step 3: Cross multiply
    5,894.50x = 8,844.18 × 2,434.18
  4. Step 4: Simplify right side
    5,894.50x = 21,528,326.07
  5. Step 5: Solve for x
    x = 21,528,326.07/5,894.50
  6. Step 6: Final answer
    x = 3,652.27

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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.