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Finding the Fourth Proportional to 5,887.85, 8,831.74 and 1,505.30

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Solution

The fourth proportional to 5,887.85, 8,831.74 and 1,505.30 is: 2,257.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,887.85 : 8,831.74 = 1,505.30 : x
  2. Step 2: Convert to fraction form
    5,887.85/8,831.74 = 1,505.30/x
  3. Step 3: Cross multiply
    5,887.85x = 8,831.74 × 1,505.30
  4. Step 4: Simplify right side
    5,887.85x = 13,294,418.22
  5. Step 5: Solve for x
    x = 13,294,418.22/5,887.85
  6. Step 6: Final answer
    x = 2,257.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.