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Finding the Fourth Proportional to 4,001.64, 5,522.43 and 2,323.02

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Solution

The fourth proportional to 4,001.64, 5,522.43 and 2,323.02 is: 3,205.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,001.64 : 5,522.43 = 2,323.02 : x
  2. Step 2: Convert to fraction form
    4,001.64/5,522.43 = 2,323.02/x
  3. Step 3: Cross multiply
    4,001.64x = 5,522.43 × 2,323.02
  4. Step 4: Simplify right side
    4,001.64x = 12,828,715.34
  5. Step 5: Solve for x
    x = 12,828,715.34/4,001.64
  6. Step 6: Final answer
    x = 3,205.86

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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.