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Finding the Fourth Proportional to 3,356.46, 4,632.06 and 1,864.37

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Solution

The fourth proportional to 3,356.46, 4,632.06 and 1,864.37 is: 2,572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356.46 : 4,632.06 = 1,864.37 : x
  2. Step 2: Convert to fraction form
    3,356.46/4,632.06 = 1,864.37/x
  3. Step 3: Cross multiply
    3,356.46x = 4,632.06 × 1,864.37
  4. Step 4: Simplify right side
    3,356.46x = 8,635,864.38
  5. Step 5: Solve for x
    x = 8,635,864.38/3,356.46
  6. Step 6: Final answer
    x = 2,572.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.