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Finding the Fourth Proportional to 5,302.16, 7,316.53 and 2,944.16

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Solution

The fourth proportional to 5,302.16, 7,316.53 and 2,944.16 is: 4,062.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.16 : 7,316.53 = 2,944.16 : x
  2. Step 2: Convert to fraction form
    5,302.16/7,316.53 = 2,944.16/x
  3. Step 3: Cross multiply
    5,302.16x = 7,316.53 × 2,944.16
  4. Step 4: Simplify right side
    5,302.16x = 21,540,991.02
  5. Step 5: Solve for x
    x = 21,540,991.02/5,302.16
  6. Step 6: Final answer
    x = 4,062.69

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Why These Related Problems?

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