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Finding the Fourth Proportional to 5,887.62, 8,831.72 and 1,505.12

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Solution

The fourth proportional to 5,887.62, 8,831.72 and 1,505.12 is: 2,257.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,887.62 : 8,831.72 = 1,505.12 : x
  2. Step 2: Convert to fraction form
    5,887.62/8,831.72 = 1,505.12/x
  3. Step 3: Cross multiply
    5,887.62x = 8,831.72 × 1,505.12
  4. Step 4: Simplify right side
    5,887.62x = 13,292,758.01
  5. Step 5: Solve for x
    x = 13,292,758.01/5,887.62
  6. Step 6: Final answer
    x = 2,257.75

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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.