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Finding the Fourth Proportional to 4,345.44, 5,993.98 and 3,209.95

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Solution

The fourth proportional to 4,345.44, 5,993.98 and 3,209.95 is: 4,427.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,345.44 : 5,993.98 = 3,209.95 : x
  2. Step 2: Convert to fraction form
    4,345.44/5,993.98 = 3,209.95/x
  3. Step 3: Cross multiply
    4,345.44x = 5,993.98 × 3,209.95
  4. Step 4: Simplify right side
    4,345.44x = 19,240,376.10
  5. Step 5: Solve for x
    x = 19,240,376.10/4,345.44
  6. Step 6: Final answer
    x = 4,427.72

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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.