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Finding the Fourth Proportional to 3,205.62, 4,423.62 and 2,366.03

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Solution

The fourth proportional to 3,205.62, 4,423.62 and 2,366.03 is: 3,265.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.62 : 4,423.62 = 2,366.03 : x
  2. Step 2: Convert to fraction form
    3,205.62/4,423.62 = 2,366.03/x
  3. Step 3: Cross multiply
    3,205.62x = 4,423.62 × 2,366.03
  4. Step 4: Simplify right side
    3,205.62x = 10,466,395.51
  5. Step 5: Solve for x
    x = 10,466,395.51/3,205.62
  6. Step 6: Final answer
    x = 3,265.01

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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.