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Finding the Fourth Proportional to 4,114.94, 6,149.76 and 3,006.66

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Solution

The fourth proportional to 4,114.94, 6,149.76 and 3,006.66 is: 4,493.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.94 : 6,149.76 = 3,006.66 : x
  2. Step 2: Convert to fraction form
    4,114.94/6,149.76 = 3,006.66/x
  3. Step 3: Cross multiply
    4,114.94x = 6,149.76 × 3,006.66
  4. Step 4: Simplify right side
    4,114.94x = 18,490,237.40
  5. Step 5: Solve for x
    x = 18,490,237.40/4,114.94
  6. Step 6: Final answer
    x = 4,493.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.