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Finding the Fourth Proportional to 3,109.95, 4,656.02 and 3,006.27

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Solution

The fourth proportional to 3,109.95, 4,656.02 and 3,006.27 is: 4,500.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.95 : 4,656.02 = 3,006.27 : x
  2. Step 2: Convert to fraction form
    3,109.95/4,656.02 = 3,006.27/x
  3. Step 3: Cross multiply
    3,109.95x = 4,656.02 × 3,006.27
  4. Step 4: Simplify right side
    3,109.95x = 13,997,238.21
  5. Step 5: Solve for x
    x = 13,997,238.21/3,109.95
  6. Step 6: Final answer
    x = 4,500.79

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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.