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Finding the Fourth Proportional to 3,909.58, 5,864.37 and 1,314.34

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Solution

The fourth proportional to 3,909.58, 5,864.37 and 1,314.34 is: 1,971.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.58 : 5,864.37 = 1,314.34 : x
  2. Step 2: Convert to fraction form
    3,909.58/5,864.37 = 1,314.34/x
  3. Step 3: Cross multiply
    3,909.58x = 5,864.37 × 1,314.34
  4. Step 4: Simplify right side
    3,909.58x = 7,707,776.07
  5. Step 5: Solve for x
    x = 7,707,776.07/3,909.58
  6. Step 6: Final answer
    x = 1,971.51

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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.