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Finding the Fourth Proportional to 6,298.02, 9,449.46 and 2,401.52

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Solution

The fourth proportional to 6,298.02, 9,449.46 and 2,401.52 is: 3,603.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.02 : 9,449.46 = 2,401.52 : x
  2. Step 2: Convert to fraction form
    6,298.02/9,449.46 = 2,401.52/x
  3. Step 3: Cross multiply
    6,298.02x = 9,449.46 × 2,401.52
  4. Step 4: Simplify right side
    6,298.02x = 22,693,019.93
  5. Step 5: Solve for x
    x = 22,693,019.93/6,298.02
  6. Step 6: Final answer
    x = 3,603.20

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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.