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Finding the Fourth Proportional to 4,981.82, 6,825.12 and 4,794.98

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Solution

The fourth proportional to 4,981.82, 6,825.12 and 4,794.98 is: 6,569.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,981.82 : 6,825.12 = 4,794.98 : x
  2. Step 2: Convert to fraction form
    4,981.82/6,825.12 = 4,794.98/x
  3. Step 3: Cross multiply
    4,981.82x = 6,825.12 × 4,794.98
  4. Step 4: Simplify right side
    4,981.82x = 32,726,261.79
  5. Step 5: Solve for x
    x = 32,726,261.79/4,981.82
  6. Step 6: Final answer
    x = 6,569.14

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.