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Finding the Fourth Proportional to 3,352.95, 5,027.52 and 1,378.02

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Solution

The fourth proportional to 3,352.95, 5,027.52 and 1,378.02 is: 2,066.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,352.95 : 5,027.52 = 1,378.02 : x
  2. Step 2: Convert to fraction form
    3,352.95/5,027.52 = 1,378.02/x
  3. Step 3: Cross multiply
    3,352.95x = 5,027.52 × 1,378.02
  4. Step 4: Simplify right side
    3,352.95x = 6,928,023.11
  5. Step 5: Solve for x
    x = 6,928,023.11/3,352.95
  6. Step 6: Final answer
    x = 2,066.25

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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.