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Finding the Fourth Proportional to 5,234.33, 7,219.05 and 3,466.10

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Solution

The fourth proportional to 5,234.33, 7,219.05 and 3,466.10 is: 4,780.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.33 : 7,219.05 = 3,466.10 : x
  2. Step 2: Convert to fraction form
    5,234.33/7,219.05 = 3,466.10/x
  3. Step 3: Cross multiply
    5,234.33x = 7,219.05 × 3,466.10
  4. Step 4: Simplify right side
    5,234.33x = 25,021,949.21
  5. Step 5: Solve for x
    x = 25,021,949.21/5,234.33
  6. Step 6: Final answer
    x = 4,780.35

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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.