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Finding the Fourth Proportional to 4,872.32, 6,719.15 and 3,453.50

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Solution

The fourth proportional to 4,872.32, 6,719.15 and 3,453.50 is: 4,762.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.32 : 6,719.15 = 3,453.50 : x
  2. Step 2: Convert to fraction form
    4,872.32/6,719.15 = 3,453.50/x
  3. Step 3: Cross multiply
    4,872.32x = 6,719.15 × 3,453.50
  4. Step 4: Simplify right side
    4,872.32x = 23,204,533.66
  5. Step 5: Solve for x
    x = 23,204,533.66/4,872.32
  6. Step 6: Final answer
    x = 4,762.53

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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.