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Finding the Fourth Proportional to 4,599.42, 6,898.32 and 1,222.25

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Solution

The fourth proportional to 4,599.42, 6,898.32 and 1,222.25 is: 1,833.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.42 : 6,898.32 = 1,222.25 : x
  2. Step 2: Convert to fraction form
    4,599.42/6,898.32 = 1,222.25/x
  3. Step 3: Cross multiply
    4,599.42x = 6,898.32 × 1,222.25
  4. Step 4: Simplify right side
    4,599.42x = 8,431,471.62
  5. Step 5: Solve for x
    x = 8,431,471.62/4,599.42
  6. Step 6: Final answer
    x = 1,833.16

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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.