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Finding the Fourth Proportional to 4,981.86, 7,468.34 and 2,058.30

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Solution

The fourth proportional to 4,981.86, 7,468.34 and 2,058.30 is: 3,085.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,981.86 : 7,468.34 = 2,058.30 : x
  2. Step 2: Convert to fraction form
    4,981.86/7,468.34 = 2,058.30/x
  3. Step 3: Cross multiply
    4,981.86x = 7,468.34 × 2,058.30
  4. Step 4: Simplify right side
    4,981.86x = 15,372,073.93
  5. Step 5: Solve for x
    x = 15,372,073.93/4,981.86
  6. Step 6: Final answer
    x = 3,085.61

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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.