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Finding the Fourth Proportional to 3,395, 4,685.46 and 2,464.04

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Solution

The fourth proportional to 3,395, 4,685.46 and 2,464.04 is: 3,400.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,395 : 4,685.46 = 2,464.04 : x
  2. Step 2: Convert to fraction form
    3,395/4,685.46 = 2,464.04/x
  3. Step 3: Cross multiply
    3,395x = 4,685.46 × 2,464.04
  4. Step 4: Simplify right side
    3,395x = 11,545,160.86
  5. Step 5: Solve for x
    x = 11,545,160.86/3,395
  6. Step 6: Final answer
    x = 3,400.64

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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.