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Finding the Fourth Proportional to 5,470.34, 8,200.04 and 5,058.45

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Solution

The fourth proportional to 5,470.34, 8,200.04 and 5,058.45 is: 7,582.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.34 : 8,200.04 = 5,058.45 : x
  2. Step 2: Convert to fraction form
    5,470.34/8,200.04 = 5,058.45/x
  3. Step 3: Cross multiply
    5,470.34x = 8,200.04 × 5,058.45
  4. Step 4: Simplify right side
    5,470.34x = 41,479,467.05
  5. Step 5: Solve for x
    x = 41,479,467.05/5,470.34
  6. Step 6: Final answer
    x = 7,582.62

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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.