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Finding the Fourth Proportional to 5,218.83, 7,202.16 and 2,981.07

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Solution

The fourth proportional to 5,218.83, 7,202.16 and 2,981.07 is: 4,113.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.83 : 7,202.16 = 2,981.07 : x
  2. Step 2: Convert to fraction form
    5,218.83/7,202.16 = 2,981.07/x
  3. Step 3: Cross multiply
    5,218.83x = 7,202.16 × 2,981.07
  4. Step 4: Simplify right side
    5,218.83x = 21,470,143.11
  5. Step 5: Solve for x
    x = 21,470,143.11/5,218.83
  6. Step 6: Final answer
    x = 4,113.98

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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.