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Finding the Fourth Proportional to 4,665.42, 6,998.76 and 1,544.40

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Solution

The fourth proportional to 4,665.42, 6,998.76 and 1,544.40 is: 2,316.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.42 : 6,998.76 = 1,544.40 : x
  2. Step 2: Convert to fraction form
    4,665.42/6,998.76 = 1,544.40/x
  3. Step 3: Cross multiply
    4,665.42x = 6,998.76 × 1,544.40
  4. Step 4: Simplify right side
    4,665.42x = 10,808,884.94
  5. Step 5: Solve for x
    x = 10,808,884.94/4,665.42
  6. Step 6: Final answer
    x = 2,316.81

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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.