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Finding the Fourth Proportional to 5,091.98, 7,030.19 and 3,206.16

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Solution

The fourth proportional to 5,091.98, 7,030.19 and 3,206.16 is: 4,426.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,091.98 : 7,030.19 = 3,206.16 : x
  2. Step 2: Convert to fraction form
    5,091.98/7,030.19 = 3,206.16/x
  3. Step 3: Cross multiply
    5,091.98x = 7,030.19 × 3,206.16
  4. Step 4: Simplify right side
    5,091.98x = 22,539,921.99
  5. Step 5: Solve for x
    x = 22,539,921.99/5,091.98
  6. Step 6: Final answer
    x = 4,426.56

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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.