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Finding the Fourth Proportional to 3,472.86, 5,209.19 and 875.82

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Solution

The fourth proportional to 3,472.86, 5,209.19 and 875.82 is: 1,313.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.86 : 5,209.19 = 875.82 : x
  2. Step 2: Convert to fraction form
    3,472.86/5,209.19 = 875.82/x
  3. Step 3: Cross multiply
    3,472.86x = 5,209.19 × 875.82
  4. Step 4: Simplify right side
    3,472.86x = 4,562,308.41
  5. Step 5: Solve for x
    x = 4,562,308.41/3,472.86
  6. Step 6: Final answer
    x = 1,313.70

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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.