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Finding the Fourth Proportional to 5,888.12, 8,832.09 and 1,505.54

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Solution

The fourth proportional to 5,888.12, 8,832.09 and 1,505.54 is: 2,258.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,888.12 : 8,832.09 = 1,505.54 : x
  2. Step 2: Convert to fraction form
    5,888.12/8,832.09 = 1,505.54/x
  3. Step 3: Cross multiply
    5,888.12x = 8,832.09 × 1,505.54
  4. Step 4: Simplify right side
    5,888.12x = 13,297,064.78
  5. Step 5: Solve for x
    x = 13,297,064.78/5,888.12
  6. Step 6: Final answer
    x = 2,258.29

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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.