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Finding the Fourth Proportional to 3,684.90, 5,528.61 and 1,737.24

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Solution

The fourth proportional to 3,684.90, 5,528.61 and 1,737.24 is: 2,606.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.90 : 5,528.61 = 1,737.24 : x
  2. Step 2: Convert to fraction form
    3,684.90/5,528.61 = 1,737.24/x
  3. Step 3: Cross multiply
    3,684.90x = 5,528.61 × 1,737.24
  4. Step 4: Simplify right side
    3,684.90x = 9,604,522.44
  5. Step 5: Solve for x
    x = 9,604,522.44/3,684.90
  6. Step 6: Final answer
    x = 2,606.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.