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Finding the Fourth Proportional to 5,129.55, 7,682.18 and 3,477.15

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Solution

The fourth proportional to 5,129.55, 7,682.18 and 3,477.15 is: 5,207.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.55 : 7,682.18 = 3,477.15 : x
  2. Step 2: Convert to fraction form
    5,129.55/7,682.18 = 3,477.15/x
  3. Step 3: Cross multiply
    5,129.55x = 7,682.18 × 3,477.15
  4. Step 4: Simplify right side
    5,129.55x = 26,712,074.80
  5. Step 5: Solve for x
    x = 26,712,074.80/5,129.55
  6. Step 6: Final answer
    x = 5,207.49

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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.