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Finding the Fourth Proportional to 5,058.45, 7,586.46 and 2,592

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Solution

The fourth proportional to 5,058.45, 7,586.46 and 2,592 is: 3,887.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,058.45 : 7,586.46 = 2,592 : x
  2. Step 2: Convert to fraction form
    5,058.45/7,586.46 = 2,592/x
  3. Step 3: Cross multiply
    5,058.45x = 7,586.46 × 2,592
  4. Step 4: Simplify right side
    5,058.45x = 19,664,104.32
  5. Step 5: Solve for x
    x = 19,664,104.32/5,058.45
  6. Step 6: Final answer
    x = 3,887.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.