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Finding the Fourth Proportional to 3,498.48, 4,823.20 and 2,998.96

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Solution

The fourth proportional to 3,498.48, 4,823.20 and 2,998.96 is: 4,134.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.48 : 4,823.20 = 2,998.96 : x
  2. Step 2: Convert to fraction form
    3,498.48/4,823.20 = 2,998.96/x
  3. Step 3: Cross multiply
    3,498.48x = 4,823.20 × 2,998.96
  4. Step 4: Simplify right side
    3,498.48x = 14,464,583.87
  5. Step 5: Solve for x
    x = 14,464,583.87/3,498.48
  6. Step 6: Final answer
    x = 4,134.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.