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Finding the Fourth Proportional to 5,596.75, 7,730 and 3,825.28

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Solution

The fourth proportional to 5,596.75, 7,730 and 3,825.28 is: 5,283.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596.75 : 7,730 = 3,825.28 : x
  2. Step 2: Convert to fraction form
    5,596.75/7,730 = 3,825.28/x
  3. Step 3: Cross multiply
    5,596.75x = 7,730 × 3,825.28
  4. Step 4: Simplify right side
    5,596.75x = 29,569,414.40
  5. Step 5: Solve for x
    x = 29,569,414.40/5,596.75
  6. Step 6: Final answer
    x = 5,283.32

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1.5x scale

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.