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Finding the Fourth Proportional to 5,894.16, 8,841.12 and 1,734

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Solution

The fourth proportional to 5,894.16, 8,841.12 and 1,734 is: 2,600.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.16 : 8,841.12 = 1,734 : x
  2. Step 2: Convert to fraction form
    5,894.16/8,841.12 = 1,734/x
  3. Step 3: Cross multiply
    5,894.16x = 8,841.12 × 1,734
  4. Step 4: Simplify right side
    5,894.16x = 15,330,502.08
  5. Step 5: Solve for x
    x = 15,330,502.08/5,894.16
  6. Step 6: Final answer
    x = 2,600.96

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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.