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Finding the Fourth Proportional to 4,215.56, 6,322.86 and 1,616.67

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Solution

The fourth proportional to 4,215.56, 6,322.86 and 1,616.67 is: 2,424.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.56 : 6,322.86 = 1,616.67 : x
  2. Step 2: Convert to fraction form
    4,215.56/6,322.86 = 1,616.67/x
  3. Step 3: Cross multiply
    4,215.56x = 6,322.86 × 1,616.67
  4. Step 4: Simplify right side
    4,215.56x = 10,221,978.08
  5. Step 5: Solve for x
    x = 10,221,978.08/4,215.56
  6. Step 6: Final answer
    x = 2,424.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.