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Finding the Fourth Proportional to 3,349.65, 5,024.48 and 884.67

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Solution

The fourth proportional to 3,349.65, 5,024.48 and 884.67 is: 1,327.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.65 : 5,024.48 = 884.67 : x
  2. Step 2: Convert to fraction form
    3,349.65/5,024.48 = 884.67/x
  3. Step 3: Cross multiply
    3,349.65x = 5,024.48 × 884.67
  4. Step 4: Simplify right side
    3,349.65x = 4,444,983.46
  5. Step 5: Solve for x
    x = 4,444,983.46/3,349.65
  6. Step 6: Final answer
    x = 1,327.00

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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.