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Finding the Fourth Proportional to 4,872.30, 6,719.00 and 4,467.57

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Solution

The fourth proportional to 4,872.30, 6,719.00 and 4,467.57 is: 6,160.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.30 : 6,719.00 = 4,467.57 : x
  2. Step 2: Convert to fraction form
    4,872.30/6,719.00 = 4,467.57/x
  3. Step 3: Cross multiply
    4,872.30x = 6,719.00 × 4,467.57
  4. Step 4: Simplify right side
    4,872.30x = 30,017,580.49
  5. Step 5: Solve for x
    x = 30,017,580.49/4,872.30
  6. Step 6: Final answer
    x = 6,160.86

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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.