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Finding the Fourth Proportional to 5,893.12, 8,823.87 and 3,114.02

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Solution

The fourth proportional to 5,893.12, 8,823.87 and 3,114.02 is: 4,662.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893.12 : 8,823.87 = 3,114.02 : x
  2. Step 2: Convert to fraction form
    5,893.12/8,823.87 = 3,114.02/x
  3. Step 3: Cross multiply
    5,893.12x = 8,823.87 × 3,114.02
  4. Step 4: Simplify right side
    5,893.12x = 27,477,671.32
  5. Step 5: Solve for x
    x = 27,477,671.32/5,893.12
  6. Step 6: Final answer
    x = 4,662.67

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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.