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Finding the Fourth Proportional to 5,153.85, 7,111.89 and 3,029.67

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Solution

The fourth proportional to 5,153.85, 7,111.89 and 3,029.67 is: 4,180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.85 : 7,111.89 = 3,029.67 : x
  2. Step 2: Convert to fraction form
    5,153.85/7,111.89 = 3,029.67/x
  3. Step 3: Cross multiply
    5,153.85x = 7,111.89 × 3,029.67
  4. Step 4: Simplify right side
    5,153.85x = 21,546,679.78
  5. Step 5: Solve for x
    x = 21,546,679.78/5,153.85
  6. Step 6: Final answer
    x = 4,180.70

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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.