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Finding the Fourth Proportional to 3,423.66, 4,717.68 and 2,361.75

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Solution

The fourth proportional to 3,423.66, 4,717.68 and 2,361.75 is: 3,254.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.66 : 4,717.68 = 2,361.75 : x
  2. Step 2: Convert to fraction form
    3,423.66/4,717.68 = 2,361.75/x
  3. Step 3: Cross multiply
    3,423.66x = 4,717.68 × 2,361.75
  4. Step 4: Simplify right side
    3,423.66x = 11,141,980.74
  5. Step 5: Solve for x
    x = 11,141,980.74/3,423.66
  6. Step 6: Final answer
    x = 3,254.41

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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.