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Finding the Fourth Proportional to 3,472.21, 5,208.33 and 875.17

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Solution

The fourth proportional to 3,472.21, 5,208.33 and 875.17 is: 1,312.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.21 : 5,208.33 = 875.17 : x
  2. Step 2: Convert to fraction form
    3,472.21/5,208.33 = 875.17/x
  3. Step 3: Cross multiply
    3,472.21x = 5,208.33 × 875.17
  4. Step 4: Simplify right side
    3,472.21x = 4,558,174.17
  5. Step 5: Solve for x
    x = 4,558,174.17/3,472.21
  6. Step 6: Final answer
    x = 1,312.76

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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.