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Finding the Fourth Proportional to 4,149.94, 6,225.54 and 1,377.31

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Solution

The fourth proportional to 4,149.94, 6,225.54 and 1,377.31 is: 2,066.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.94 : 6,225.54 = 1,377.31 : x
  2. Step 2: Convert to fraction form
    4,149.94/6,225.54 = 1,377.31/x
  3. Step 3: Cross multiply
    4,149.94x = 6,225.54 × 1,377.31
  4. Step 4: Simplify right side
    4,149.94x = 8,574,498.50
  5. Step 5: Solve for x
    x = 8,574,498.50/4,149.94
  6. Step 6: Final answer
    x = 2,066.17

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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.