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Finding the Fourth Proportional to 5,731.44, 7,909.29 and 4,659.81

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Solution

The fourth proportional to 5,731.44, 7,909.29 and 4,659.81 is: 6,430.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.44 : 7,909.29 = 4,659.81 : x
  2. Step 2: Convert to fraction form
    5,731.44/7,909.29 = 4,659.81/x
  3. Step 3: Cross multiply
    5,731.44x = 7,909.29 × 4,659.81
  4. Step 4: Simplify right side
    5,731.44x = 36,855,788.63
  5. Step 5: Solve for x
    x = 36,855,788.63/5,731.44
  6. Step 6: Final answer
    x = 6,430.46

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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.