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Finding the Fourth Proportional to 3,151.64, 4,727.26 and 1,396.13

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Solution

The fourth proportional to 3,151.64, 4,727.26 and 1,396.13 is: 2,094.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.64 : 4,727.26 = 1,396.13 : x
  2. Step 2: Convert to fraction form
    3,151.64/4,727.26 = 1,396.13/x
  3. Step 3: Cross multiply
    3,151.64x = 4,727.26 × 1,396.13
  4. Step 4: Simplify right side
    3,151.64x = 6,599,869.50
  5. Step 5: Solve for x
    x = 6,599,869.50/3,151.64
  6. Step 6: Final answer
    x = 2,094.11

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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.