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Finding the Fourth Proportional to 5,640, 7,782.12 and 3,650.28

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Solution

The fourth proportional to 5,640, 7,782.12 and 3,650.28 is: 5,036.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640 : 7,782.12 = 3,650.28 : x
  2. Step 2: Convert to fraction form
    5,640/7,782.12 = 3,650.28/x
  3. Step 3: Cross multiply
    5,640x = 7,782.12 × 3,650.28
  4. Step 4: Simplify right side
    5,640x = 28,406,916.99
  5. Step 5: Solve for x
    x = 28,406,916.99/5,640
  6. Step 6: Final answer
    x = 5,036.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.