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Finding the Fourth Proportional to 3,395.32, 4,682.00 and 2,400.23

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Solution

The fourth proportional to 3,395.32, 4,682.00 and 2,400.23 is: 3,309.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,395.32 : 4,682.00 = 2,400.23 : x
  2. Step 2: Convert to fraction form
    3,395.32/4,682.00 = 2,400.23/x
  3. Step 3: Cross multiply
    3,395.32x = 4,682.00 × 2,400.23
  4. Step 4: Simplify right side
    3,395.32x = 11,237,894.57
  5. Step 5: Solve for x
    x = 11,237,894.57/3,395.32
  6. Step 6: Final answer
    x = 3,309.82

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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.