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Finding the Fourth Proportional to 3,109.64, 4,291.30 and 1,712.39

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Solution

The fourth proportional to 3,109.64, 4,291.30 and 1,712.39 is: 2,363.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.64 : 4,291.30 = 1,712.39 : x
  2. Step 2: Convert to fraction form
    3,109.64/4,291.30 = 1,712.39/x
  3. Step 3: Cross multiply
    3,109.64x = 4,291.30 × 1,712.39
  4. Step 4: Simplify right side
    3,109.64x = 7,348,388.85
  5. Step 5: Solve for x
    x = 7,348,388.85/3,109.64
  6. Step 6: Final answer
    x = 2,363.10

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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.