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Finding the Fourth Proportional to 5,870.84, 8,101.76 and 3,218.24

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Solution

The fourth proportional to 5,870.84, 8,101.76 and 3,218.24 is: 4,441.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870.84 : 8,101.76 = 3,218.24 : x
  2. Step 2: Convert to fraction form
    5,870.84/8,101.76 = 3,218.24/x
  3. Step 3: Cross multiply
    5,870.84x = 8,101.76 × 3,218.24
  4. Step 4: Simplify right side
    5,870.84x = 26,073,408.10
  5. Step 5: Solve for x
    x = 26,073,408.10/5,870.84
  6. Step 6: Final answer
    x = 4,441.17

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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.