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Finding the Fourth Proportional to 5,294.14, 7,929.06 and 4,118.02

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Solution

The fourth proportional to 5,294.14, 7,929.06 and 4,118.02 is: 6,167.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.14 : 7,929.06 = 4,118.02 : x
  2. Step 2: Convert to fraction form
    5,294.14/7,929.06 = 4,118.02/x
  3. Step 3: Cross multiply
    5,294.14x = 7,929.06 × 4,118.02
  4. Step 4: Simplify right side
    5,294.14x = 32,652,027.66
  5. Step 5: Solve for x
    x = 32,652,027.66/5,294.14
  6. Step 6: Final answer
    x = 6,167.58

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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.