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Finding the Fourth Proportional to 5,350.78, 7,377.33 and 3,459.16

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Solution

The fourth proportional to 5,350.78, 7,377.33 and 3,459.16 is: 4,769.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,350.78 : 7,377.33 = 3,459.16 : x
  2. Step 2: Convert to fraction form
    5,350.78/7,377.33 = 3,459.16/x
  3. Step 3: Cross multiply
    5,350.78x = 7,377.33 × 3,459.16
  4. Step 4: Simplify right side
    5,350.78x = 25,519,364.84
  5. Step 5: Solve for x
    x = 25,519,364.84/5,350.78
  6. Step 6: Final answer
    x = 4,769.28

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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.