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Finding the Fourth Proportional to 5,952.84, 8,922.06 and 4,297.92

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Solution

The fourth proportional to 5,952.84, 8,922.06 and 4,297.92 is: 6,441.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.84 : 8,922.06 = 4,297.92 : x
  2. Step 2: Convert to fraction form
    5,952.84/8,922.06 = 4,297.92/x
  3. Step 3: Cross multiply
    5,952.84x = 8,922.06 × 4,297.92
  4. Step 4: Simplify right side
    5,952.84x = 38,346,300.12
  5. Step 5: Solve for x
    x = 38,346,300.12/5,952.84
  6. Step 6: Final answer
    x = 6,441.68

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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.