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Finding the Fourth Proportional to 4,460.02, 6,182.99 and 4,223

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Solution

The fourth proportional to 4,460.02, 6,182.99 and 4,223 is: 5,854.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,460.02 : 6,182.99 = 4,223 : x
  2. Step 2: Convert to fraction form
    4,460.02/6,182.99 = 4,223/x
  3. Step 3: Cross multiply
    4,460.02x = 6,182.99 × 4,223
  4. Step 4: Simplify right side
    4,460.02x = 26,110,766.77
  5. Step 5: Solve for x
    x = 26,110,766.77/4,460.02
  6. Step 6: Final answer
    x = 5,854.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.