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Finding the Fourth Proportional to 3,685.78, 5,528.69 and 3,035.16

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Solution

The fourth proportional to 3,685.78, 5,528.69 and 3,035.16 is: 4,552.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.78 : 5,528.69 = 3,035.16 : x
  2. Step 2: Convert to fraction form
    3,685.78/5,528.69 = 3,035.16/x
  3. Step 3: Cross multiply
    3,685.78x = 5,528.69 × 3,035.16
  4. Step 4: Simplify right side
    3,685.78x = 16,780,458.74
  5. Step 5: Solve for x
    x = 16,780,458.74/3,685.78
  6. Step 6: Final answer
    x = 4,552.76

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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.