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Finding the Fourth Proportional to 3,498.57, 5,248.62 and 1,159.30

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Solution

The fourth proportional to 3,498.57, 5,248.62 and 1,159.30 is: 1,739.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.57 : 5,248.62 = 1,159.30 : x
  2. Step 2: Convert to fraction form
    3,498.57/5,248.62 = 1,159.30/x
  3. Step 3: Cross multiply
    3,498.57x = 5,248.62 × 1,159.30
  4. Step 4: Simplify right side
    3,498.57x = 6,084,725.17
  5. Step 5: Solve for x
    x = 6,084,725.17/3,498.57
  6. Step 6: Final answer
    x = 1,739.21

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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.