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Finding the Fourth Proportional to 3,473.03, 5,209.56 and 875.96

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Solution

The fourth proportional to 3,473.03, 5,209.56 and 875.96 is: 1,313.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.03 : 5,209.56 = 875.96 : x
  2. Step 2: Convert to fraction form
    3,473.03/5,209.56 = 875.96/x
  3. Step 3: Cross multiply
    3,473.03x = 5,209.56 × 875.96
  4. Step 4: Simplify right side
    3,473.03x = 4,563,340.13
  5. Step 5: Solve for x
    x = 4,563,340.13/3,473.03
  6. Step 6: Final answer
    x = 1,313.94

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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.