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Finding the Fourth Proportional to 5,058.99, 7,582.78 and 2,422.86

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Solution

The fourth proportional to 5,058.99, 7,582.78 and 2,422.86 is: 3,631.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,058.99 : 7,582.78 = 2,422.86 : x
  2. Step 2: Convert to fraction form
    5,058.99/7,582.78 = 2,422.86/x
  3. Step 3: Cross multiply
    5,058.99x = 7,582.78 × 2,422.86
  4. Step 4: Simplify right side
    5,058.99x = 18,372,031.60
  5. Step 5: Solve for x
    x = 18,372,031.60/5,058.99
  6. Step 6: Final answer
    x = 3,631.56

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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.