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Finding the Fourth Proportional to 5,765.61, 7,956.63 and 3,407.97

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Solution

The fourth proportional to 5,765.61, 7,956.63 and 3,407.97 is: 4,703.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.61 : 7,956.63 = 3,407.97 : x
  2. Step 2: Convert to fraction form
    5,765.61/7,956.63 = 3,407.97/x
  3. Step 3: Cross multiply
    5,765.61x = 7,956.63 × 3,407.97
  4. Step 4: Simplify right side
    5,765.61x = 27,115,956.34
  5. Step 5: Solve for x
    x = 27,115,956.34/5,765.61
  6. Step 6: Final answer
    x = 4,703.05

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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.