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Finding the Fourth Proportional to 5,058, 7,586.19 and 3,592.71

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Solution

The fourth proportional to 5,058, 7,586.19 and 3,592.71 is: 5,388.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,058 : 7,586.19 = 3,592.71 : x
  2. Step 2: Convert to fraction form
    5,058/7,586.19 = 3,592.71/x
  3. Step 3: Cross multiply
    5,058x = 7,586.19 × 3,592.71
  4. Step 4: Simplify right side
    5,058x = 27,254,980.67
  5. Step 5: Solve for x
    x = 27,254,980.67/5,058
  6. Step 6: Final answer
    x = 5,388.49

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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.