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Finding the Fourth Proportional to 3,785.47, 5,223.69 and 2,369.10

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Solution

The fourth proportional to 3,785.47, 5,223.69 and 2,369.10 is: 3,269.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.47 : 5,223.69 = 2,369.10 : x
  2. Step 2: Convert to fraction form
    3,785.47/5,223.69 = 2,369.10/x
  3. Step 3: Cross multiply
    3,785.47x = 5,223.69 × 2,369.10
  4. Step 4: Simplify right side
    3,785.47x = 12,375,434.18
  5. Step 5: Solve for x
    x = 12,375,434.18/3,785.47
  6. Step 6: Final answer
    x = 3,269.19

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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.