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Finding the Fourth Proportional to 3,357, 4,632.75 and 1,864.98

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Solution

The fourth proportional to 3,357, 4,632.75 and 1,864.98 is: 2,573.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357 : 4,632.75 = 1,864.98 : x
  2. Step 2: Convert to fraction form
    3,357/4,632.75 = 1,864.98/x
  3. Step 3: Cross multiply
    3,357x = 4,632.75 × 1,864.98
  4. Step 4: Simplify right side
    3,357x = 8,639,986.10
  5. Step 5: Solve for x
    x = 8,639,986.10/3,357
  6. Step 6: Final answer
    x = 2,573.72

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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.