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Finding the Fourth Proportional to 5,894.39, 8,850.49 and 5,705.08

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Solution

The fourth proportional to 5,894.39, 8,850.49 and 5,705.08 is: 8,566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.39 : 8,850.49 = 5,705.08 : x
  2. Step 2: Convert to fraction form
    5,894.39/8,850.49 = 5,705.08/x
  3. Step 3: Cross multiply
    5,894.39x = 8,850.49 × 5,705.08
  4. Step 4: Simplify right side
    5,894.39x = 50,492,717.10
  5. Step 5: Solve for x
    x = 50,492,717.10/5,894.39
  6. Step 6: Final answer
    x = 8,566.23

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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.