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Finding the Fourth Proportional to 5,774.00, 8,660.63 and 2,076.12

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Solution

The fourth proportional to 5,774.00, 8,660.63 and 2,076.12 is: 3,114.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.00 : 8,660.63 = 2,076.12 : x
  2. Step 2: Convert to fraction form
    5,774.00/8,660.63 = 2,076.12/x
  3. Step 3: Cross multiply
    5,774.00x = 8,660.63 × 2,076.12
  4. Step 4: Simplify right side
    5,774.00x = 17,980,496.78
  5. Step 5: Solve for x
    x = 17,980,496.78/5,774.00
  6. Step 6: Final answer
    x = 3,114.05

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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.