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Finding the Fourth Proportional to 5,155.56, 7,110 and 3,832.56

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Solution

The fourth proportional to 5,155.56, 7,110 and 3,832.56 is: 5,285.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.56 : 7,110 = 3,832.56 : x
  2. Step 2: Convert to fraction form
    5,155.56/7,110 = 3,832.56/x
  3. Step 3: Cross multiply
    5,155.56x = 7,110 × 3,832.56
  4. Step 4: Simplify right side
    5,155.56x = 27,249,501.60
  5. Step 5: Solve for x
    x = 27,249,501.60/5,155.56
  6. Step 6: Final answer
    x = 5,285.46

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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.