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Finding the Fourth Proportional to 3,346.78, 5,019.72 and 881.80

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Solution

The fourth proportional to 3,346.78, 5,019.72 and 881.80 is: 1,322.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.78 : 5,019.72 = 881.80 : x
  2. Step 2: Convert to fraction form
    3,346.78/5,019.72 = 881.80/x
  3. Step 3: Cross multiply
    3,346.78x = 5,019.72 × 881.80
  4. Step 4: Simplify right side
    3,346.78x = 4,426,389.10
  5. Step 5: Solve for x
    x = 4,426,389.10/3,346.78
  6. Step 6: Final answer
    x = 1,322.58

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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.