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Finding the Fourth Proportional to 3,446.55, 5,171.58 and 1,498.50

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Solution

The fourth proportional to 3,446.55, 5,171.58 and 1,498.50 is: 2,248.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.55 : 5,171.58 = 1,498.50 : x
  2. Step 2: Convert to fraction form
    3,446.55/5,171.58 = 1,498.50/x
  3. Step 3: Cross multiply
    3,446.55x = 5,171.58 × 1,498.50
  4. Step 4: Simplify right side
    3,446.55x = 7,749,612.63
  5. Step 5: Solve for x
    x = 7,749,612.63/3,446.55
  6. Step 6: Final answer
    x = 2,248.51

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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.