Home / 5,096.89-7,646.05-1,587.16

Finding the Fourth Proportional to 5,096.89, 7,646.05 and 1,587.16

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Solution

The fourth proportional to 5,096.89, 7,646.05 and 1,587.16 is: 2,380.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.89 : 7,646.05 = 1,587.16 : x
  2. Step 2: Convert to fraction form
    5,096.89/7,646.05 = 1,587.16/x
  3. Step 3: Cross multiply
    5,096.89x = 7,646.05 × 1,587.16
  4. Step 4: Simplify right side
    5,096.89x = 12,135,516.26
  5. Step 5: Solve for x
    x = 12,135,516.26/5,096.89
  6. Step 6: Final answer
    x = 2,380.96

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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.