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Finding the Fourth Proportional to 3,406.16, 4,704 and 2,933.12

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Solution

The fourth proportional to 3,406.16, 4,704 and 2,933.12 is: 4,050.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.16 : 4,704 = 2,933.12 : x
  2. Step 2: Convert to fraction form
    3,406.16/4,704 = 2,933.12/x
  3. Step 3: Cross multiply
    3,406.16x = 4,704 × 2,933.12
  4. Step 4: Simplify right side
    3,406.16x = 13,797,396.48
  5. Step 5: Solve for x
    x = 13,797,396.48/3,406.16
  6. Step 6: Final answer
    x = 4,050.72

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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.