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Finding the Fourth Proportional to 5,690.52, 7,852.90 and 3,206.52

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Solution

The fourth proportional to 5,690.52, 7,852.90 and 3,206.52 is: 4,424.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.52 : 7,852.90 = 3,206.52 : x
  2. Step 2: Convert to fraction form
    5,690.52/7,852.90 = 3,206.52/x
  3. Step 3: Cross multiply
    5,690.52x = 7,852.90 × 3,206.52
  4. Step 4: Simplify right side
    5,690.52x = 25,180,480.91
  5. Step 5: Solve for x
    x = 25,180,480.91/5,690.52
  6. Step 6: Final answer
    x = 4,424.99

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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.