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Finding the Fourth Proportional to 4,660.16, 7,018.16 and 4,203.84

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Solution

The fourth proportional to 4,660.16, 7,018.16 and 4,203.84 is: 6,330.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.16 : 7,018.16 = 4,203.84 : x
  2. Step 2: Convert to fraction form
    4,660.16/7,018.16 = 4,203.84/x
  3. Step 3: Cross multiply
    4,660.16x = 7,018.16 × 4,203.84
  4. Step 4: Simplify right side
    4,660.16x = 29,503,221.73
  5. Step 5: Solve for x
    x = 29,503,221.73/4,660.16
  6. Step 6: Final answer
    x = 6,330.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.