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Finding the Fourth Proportional to 3,058.60, 4,586.71 and 1,083.86

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Solution

The fourth proportional to 3,058.60, 4,586.71 and 1,083.86 is: 1,625.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.60 : 4,586.71 = 1,083.86 : x
  2. Step 2: Convert to fraction form
    3,058.60/4,586.71 = 1,083.86/x
  3. Step 3: Cross multiply
    3,058.60x = 4,586.71 × 1,083.86
  4. Step 4: Simplify right side
    3,058.60x = 4,971,351.50
  5. Step 5: Solve for x
    x = 4,971,351.50/3,058.60
  6. Step 6: Final answer
    x = 1,625.37

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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.