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Finding the Fourth Proportional to 4,626.63, 6,385.56 and 4,472.85

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Solution

The fourth proportional to 4,626.63, 6,385.56 and 4,472.85 is: 6,173.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.63 : 6,385.56 = 4,472.85 : x
  2. Step 2: Convert to fraction form
    4,626.63/6,385.56 = 4,472.85/x
  3. Step 3: Cross multiply
    4,626.63x = 6,385.56 × 4,472.85
  4. Step 4: Simplify right side
    4,626.63x = 28,561,659.22
  5. Step 5: Solve for x
    x = 28,561,659.22/4,626.63
  6. Step 6: Final answer
    x = 6,173.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.