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Finding the Fourth Proportional to 3,298.84, 4,947.50 and 958.34

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Solution

The fourth proportional to 3,298.84, 4,947.50 and 958.34 is: 1,437.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.84 : 4,947.50 = 958.34 : x
  2. Step 2: Convert to fraction form
    3,298.84/4,947.50 = 958.34/x
  3. Step 3: Cross multiply
    3,298.84x = 4,947.50 × 958.34
  4. Step 4: Simplify right side
    3,298.84x = 4,741,387.15
  5. Step 5: Solve for x
    x = 4,741,387.15/3,298.84
  6. Step 6: Final answer
    x = 1,437.29

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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.