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Finding the Fourth Proportional to 3,685.72, 5,528.58 and 3,035.09

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Solution

The fourth proportional to 3,685.72, 5,528.58 and 3,035.09 is: 4,552.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.72 : 5,528.58 = 3,035.09 : x
  2. Step 2: Convert to fraction form
    3,685.72/5,528.58 = 3,035.09/x
  3. Step 3: Cross multiply
    3,685.72x = 5,528.58 × 3,035.09
  4. Step 4: Simplify right side
    3,685.72x = 16,779,737.87
  5. Step 5: Solve for x
    x = 16,779,737.87/3,685.72
  6. Step 6: Final answer
    x = 4,552.64

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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.