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Finding the Fourth Proportional to 4,738.66, 7,102.23 and 3,352.40

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Solution

The fourth proportional to 4,738.66, 7,102.23 and 3,352.40 is: 5,024.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.66 : 7,102.23 = 3,352.40 : x
  2. Step 2: Convert to fraction form
    4,738.66/7,102.23 = 3,352.40/x
  3. Step 3: Cross multiply
    4,738.66x = 7,102.23 × 3,352.40
  4. Step 4: Simplify right side
    4,738.66x = 23,809,494.40
  5. Step 5: Solve for x
    x = 23,809,494.40/4,738.66
  6. Step 6: Final answer
    x = 5,024.52

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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.