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Finding the Fourth Proportional to 4,574.86, 6,864.93 and 1,942.17

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Solution

The fourth proportional to 4,574.86, 6,864.93 and 1,942.17 is: 2,914.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.86 : 6,864.93 = 1,942.17 : x
  2. Step 2: Convert to fraction form
    4,574.86/6,864.93 = 1,942.17/x
  3. Step 3: Cross multiply
    4,574.86x = 6,864.93 × 1,942.17
  4. Step 4: Simplify right side
    4,574.86x = 13,332,861.10
  5. Step 5: Solve for x
    x = 13,332,861.10/4,574.86
  6. Step 6: Final answer
    x = 2,914.38

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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.