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Finding the Fourth Proportional to 5,745.48, 7,929.24 and 3,388.08

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Solution

The fourth proportional to 5,745.48, 7,929.24 and 3,388.08 is: 4,675.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.48 : 7,929.24 = 3,388.08 : x
  2. Step 2: Convert to fraction form
    5,745.48/7,929.24 = 3,388.08/x
  3. Step 3: Cross multiply
    5,745.48x = 7,929.24 × 3,388.08
  4. Step 4: Simplify right side
    5,745.48x = 26,864,899.46
  5. Step 5: Solve for x
    x = 26,864,899.46/5,745.48
  6. Step 6: Final answer
    x = 4,675.83

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1.5x scale

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.