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Finding the Fourth Proportional to 6,197.80, 9,298.32 and 2,038.45

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Solution

The fourth proportional to 6,197.80, 9,298.32 and 2,038.45 is: 3,058.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.80 : 9,298.32 = 2,038.45 : x
  2. Step 2: Convert to fraction form
    6,197.80/9,298.32 = 2,038.45/x
  3. Step 3: Cross multiply
    6,197.80x = 9,298.32 × 2,038.45
  4. Step 4: Simplify right side
    6,197.80x = 18,954,160.40
  5. Step 5: Solve for x
    x = 18,954,160.40/6,197.80
  6. Step 6: Final answer
    x = 3,058.21

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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.