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Finding the Fourth Proportional to 5,601, 7,729.38 and 3,083.16

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Solution

The fourth proportional to 5,601, 7,729.38 and 3,083.16 is: 4,254.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601 : 7,729.38 = 3,083.16 : x
  2. Step 2: Convert to fraction form
    5,601/7,729.38 = 3,083.16/x
  3. Step 3: Cross multiply
    5,601x = 7,729.38 × 3,083.16
  4. Step 4: Simplify right side
    5,601x = 23,830,915.24
  5. Step 5: Solve for x
    x = 23,830,915.24/5,601
  6. Step 6: Final answer
    x = 4,254.76

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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.