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Finding the Fourth Proportional to 3,472.98, 5,209.43 and 875.93

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Solution

The fourth proportional to 3,472.98, 5,209.43 and 875.93 is: 1,313.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.98 : 5,209.43 = 875.93 : x
  2. Step 2: Convert to fraction form
    3,472.98/5,209.43 = 875.93/x
  3. Step 3: Cross multiply
    3,472.98x = 5,209.43 × 875.93
  4. Step 4: Simplify right side
    3,472.98x = 4,563,065.59
  5. Step 5: Solve for x
    x = 4,563,065.59/3,472.98
  6. Step 6: Final answer
    x = 1,313.88

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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.