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Finding the Fourth Proportional to 3,905.75, 5,853.07 and 3,024.14

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Solution

The fourth proportional to 3,905.75, 5,853.07 and 3,024.14 is: 4,531.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.75 : 5,853.07 = 3,024.14 : x
  2. Step 2: Convert to fraction form
    3,905.75/5,853.07 = 3,024.14/x
  3. Step 3: Cross multiply
    3,905.75x = 5,853.07 × 3,024.14
  4. Step 4: Simplify right side
    3,905.75x = 17,700,503.11
  5. Step 5: Solve for x
    x = 17,700,503.11/3,905.75
  6. Step 6: Final answer
    x = 4,531.91

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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.