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Finding the Fourth Proportional to 5,346.78, 7,371.81 and 3,455.16

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Solution

The fourth proportional to 5,346.78, 7,371.81 and 3,455.16 is: 4,763.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.78 : 7,371.81 = 3,455.16 : x
  2. Step 2: Convert to fraction form
    5,346.78/7,371.81 = 3,455.16/x
  3. Step 3: Cross multiply
    5,346.78x = 7,371.81 × 3,455.16
  4. Step 4: Simplify right side
    5,346.78x = 25,470,783.04
  5. Step 5: Solve for x
    x = 25,470,783.04/5,346.78
  6. Step 6: Final answer
    x = 4,763.76

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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.