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Finding the Fourth Proportional to 3,885.45, 5,830.61 and 2,587.83

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Solution

The fourth proportional to 3,885.45, 5,830.61 and 2,587.83 is: 3,883.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.45 : 5,830.61 = 2,587.83 : x
  2. Step 2: Convert to fraction form
    3,885.45/5,830.61 = 2,587.83/x
  3. Step 3: Cross multiply
    3,885.45x = 5,830.61 × 2,587.83
  4. Step 4: Simplify right side
    3,885.45x = 15,088,627.48
  5. Step 5: Solve for x
    x = 15,088,627.48/3,885.45
  6. Step 6: Final answer
    x = 3,883.37

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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.