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Finding the Fourth Proportional to 3,380.96, 5,071.93 and 1,041.17

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Solution

The fourth proportional to 3,380.96, 5,071.93 and 1,041.17 is: 1,561.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.96 : 5,071.93 = 1,041.17 : x
  2. Step 2: Convert to fraction form
    3,380.96/5,071.93 = 1,041.17/x
  3. Step 3: Cross multiply
    3,380.96x = 5,071.93 × 1,041.17
  4. Step 4: Simplify right side
    3,380.96x = 5,280,713.40
  5. Step 5: Solve for x
    x = 5,280,713.40/3,380.96
  6. Step 6: Final answer
    x = 1,561.90

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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.