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Finding the Fourth Proportional to 5,285.81, 7,928.42 and 1,587.96

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Solution

The fourth proportional to 5,285.81, 7,928.42 and 1,587.96 is: 2,381.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.81 : 7,928.42 = 1,587.96 : x
  2. Step 2: Convert to fraction form
    5,285.81/7,928.42 = 1,587.96/x
  3. Step 3: Cross multiply
    5,285.81x = 7,928.42 × 1,587.96
  4. Step 4: Simplify right side
    5,285.81x = 12,590,005.88
  5. Step 5: Solve for x
    x = 12,590,005.88/5,285.81
  6. Step 6: Final answer
    x = 2,381.85

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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.