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Finding the Fourth Proportional to 3,544.89, 5,316.93 and 948.03

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Solution

The fourth proportional to 3,544.89, 5,316.93 and 948.03 is: 1,421.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.89 : 5,316.93 = 948.03 : x
  2. Step 2: Convert to fraction form
    3,544.89/5,316.93 = 948.03/x
  3. Step 3: Cross multiply
    3,544.89x = 5,316.93 × 948.03
  4. Step 4: Simplify right side
    3,544.89x = 5,040,609.15
  5. Step 5: Solve for x
    x = 5,040,609.15/3,544.89
  6. Step 6: Final answer
    x = 1,421.94

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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.