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Finding the Fourth Proportional to 5,852.66, 8,780.27 and 1,956.96

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Solution

The fourth proportional to 5,852.66, 8,780.27 and 1,956.96 is: 2,935.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.66 : 8,780.27 = 1,956.96 : x
  2. Step 2: Convert to fraction form
    5,852.66/8,780.27 = 1,956.96/x
  3. Step 3: Cross multiply
    5,852.66x = 8,780.27 × 1,956.96
  4. Step 4: Simplify right side
    5,852.66x = 17,182,627.39
  5. Step 5: Solve for x
    x = 17,182,627.39/5,852.66
  6. Step 6: Final answer
    x = 2,935.87

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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.