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Finding the Fourth Proportional to 3,498.84, 5,248.98 and 1,190.34

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Solution

The fourth proportional to 3,498.84, 5,248.98 and 1,190.34 is: 1,785.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.84 : 5,248.98 = 1,190.34 : x
  2. Step 2: Convert to fraction form
    3,498.84/5,248.98 = 1,190.34/x
  3. Step 3: Cross multiply
    3,498.84x = 5,248.98 × 1,190.34
  4. Step 4: Simplify right side
    3,498.84x = 6,248,070.85
  5. Step 5: Solve for x
    x = 6,248,070.85/3,498.84
  6. Step 6: Final answer
    x = 1,785.75

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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.