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Finding the Fourth Proportional to 5,261.95, 7,264.09 and 4,125.62

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Solution

The fourth proportional to 5,261.95, 7,264.09 and 4,125.62 is: 5,695.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.95 : 7,264.09 = 4,125.62 : x
  2. Step 2: Convert to fraction form
    5,261.95/7,264.09 = 4,125.62/x
  3. Step 3: Cross multiply
    5,261.95x = 7,264.09 × 4,125.62
  4. Step 4: Simplify right side
    5,261.95x = 29,968,874.99
  5. Step 5: Solve for x
    x = 29,968,874.99/5,261.95
  6. Step 6: Final answer
    x = 5,695.39

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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.