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Finding the Fourth Proportional to 4,216.66, 6,316.89 and 2,362.15

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Solution

The fourth proportional to 4,216.66, 6,316.89 and 2,362.15 is: 3,538.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.66 : 6,316.89 = 2,362.15 : x
  2. Step 2: Convert to fraction form
    4,216.66/6,316.89 = 2,362.15/x
  3. Step 3: Cross multiply
    4,216.66x = 6,316.89 × 2,362.15
  4. Step 4: Simplify right side
    4,216.66x = 14,921,441.71
  5. Step 5: Solve for x
    x = 14,921,441.71/4,216.66
  6. Step 6: Final answer
    x = 3,538.69

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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.