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Finding the Fourth Proportional to 5,301.42, 7,316.85 and 2,944.32

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Solution

The fourth proportional to 5,301.42, 7,316.85 and 2,944.32 is: 4,063.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.42 : 7,316.85 = 2,944.32 : x
  2. Step 2: Convert to fraction form
    5,301.42/7,316.85 = 2,944.32/x
  3. Step 3: Cross multiply
    5,301.42x = 7,316.85 × 2,944.32
  4. Step 4: Simplify right side
    5,301.42x = 21,543,147.79
  5. Step 5: Solve for x
    x = 21,543,147.79/5,301.42
  6. Step 6: Final answer
    x = 4,063.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.