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Finding the Fourth Proportional to 5,848.31, 8,751.62 and 4,685.78

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Solution

The fourth proportional to 5,848.31, 8,751.62 and 4,685.78 is: 7,011.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848.31 : 8,751.62 = 4,685.78 : x
  2. Step 2: Convert to fraction form
    5,848.31/8,751.62 = 4,685.78/x
  3. Step 3: Cross multiply
    5,848.31x = 8,751.62 × 4,685.78
  4. Step 4: Simplify right side
    5,848.31x = 41,008,098.78
  5. Step 5: Solve for x
    x = 41,008,098.78/5,848.31
  6. Step 6: Final answer
    x = 7,011.96

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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.