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Finding the Fourth Proportional to 4,149.95, 5,728.88 and 2,971.67

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Solution

The fourth proportional to 4,149.95, 5,728.88 and 2,971.67 is: 4,102.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.95 : 5,728.88 = 2,971.67 : x
  2. Step 2: Convert to fraction form
    4,149.95/5,728.88 = 2,971.67/x
  3. Step 3: Cross multiply
    4,149.95x = 5,728.88 × 2,971.67
  4. Step 4: Simplify right side
    4,149.95x = 17,024,325.97
  5. Step 5: Solve for x
    x = 17,024,325.97/4,149.95
  6. Step 6: Final answer
    x = 4,102.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.