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Finding the Fourth Proportional to 3,894.07, 5,841.11 and 1,158.07

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Solution

The fourth proportional to 3,894.07, 5,841.11 and 1,158.07 is: 1,737.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.07 : 5,841.11 = 1,158.07 : x
  2. Step 2: Convert to fraction form
    3,894.07/5,841.11 = 1,158.07/x
  3. Step 3: Cross multiply
    3,894.07x = 5,841.11 × 1,158.07
  4. Step 4: Simplify right side
    3,894.07x = 6,764,410.84
  5. Step 5: Solve for x
    x = 6,764,410.84/3,894.07
  6. Step 6: Final answer
    x = 1,737.11

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1.5x scale

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.