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Finding the Fourth Proportional to 3,401.64, 5,098.12 and 1,553.76

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Solution

The fourth proportional to 3,401.64, 5,098.12 and 1,553.76 is: 2,328.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.64 : 5,098.12 = 1,553.76 : x
  2. Step 2: Convert to fraction form
    3,401.64/5,098.12 = 1,553.76/x
  3. Step 3: Cross multiply
    3,401.64x = 5,098.12 × 1,553.76
  4. Step 4: Simplify right side
    3,401.64x = 7,921,254.93
  5. Step 5: Solve for x
    x = 7,921,254.93/3,401.64
  6. Step 6: Final answer
    x = 2,328.66

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1.5x scale

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.