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Finding the Fourth Proportional to 4,060.25, 5,603.16 and 2,197.25

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Solution

The fourth proportional to 4,060.25, 5,603.16 and 2,197.25 is: 3,032.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,060.25 : 5,603.16 = 2,197.25 : x
  2. Step 2: Convert to fraction form
    4,060.25/5,603.16 = 2,197.25/x
  3. Step 3: Cross multiply
    4,060.25x = 5,603.16 × 2,197.25
  4. Step 4: Simplify right side
    4,060.25x = 12,311,543.31
  5. Step 5: Solve for x
    x = 12,311,543.31/4,060.25
  6. Step 6: Final answer
    x = 3,032.21

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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.