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Finding the Fourth Proportional to 4,261, 6,394.40 and 1,525

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Solution

The fourth proportional to 4,261, 6,394.40 and 1,525 is: 2,288.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,261 : 6,394.40 = 1,525 : x
  2. Step 2: Convert to fraction form
    4,261/6,394.40 = 1,525/x
  3. Step 3: Cross multiply
    4,261x = 6,394.40 × 1,525
  4. Step 4: Simplify right side
    4,261x = 9,751,460
  5. Step 5: Solve for x
    x = 9,751,460/4,261
  6. Step 6: Final answer
    x = 2,288.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.