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Finding the Fourth Proportional to 6,017.78, 8,302.90 and 3,658.25

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Solution

The fourth proportional to 6,017.78, 8,302.90 and 3,658.25 is: 5,047.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,017.78 : 8,302.90 = 3,658.25 : x
  2. Step 2: Convert to fraction form
    6,017.78/8,302.90 = 3,658.25/x
  3. Step 3: Cross multiply
    6,017.78x = 8,302.90 × 3,658.25
  4. Step 4: Simplify right side
    6,017.78x = 30,374,024.12
  5. Step 5: Solve for x
    x = 30,374,024.12/6,017.78
  6. Step 6: Final answer
    x = 5,047.38

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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.