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Finding the Fourth Proportional to 5,302.13, 7,316.93 and 2,944.49

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Solution

The fourth proportional to 5,302.13, 7,316.93 and 2,944.49 is: 4,063.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.13 : 7,316.93 = 2,944.49 : x
  2. Step 2: Convert to fraction form
    5,302.13/7,316.93 = 2,944.49/x
  3. Step 3: Cross multiply
    5,302.13x = 7,316.93 × 2,944.49
  4. Step 4: Simplify right side
    5,302.13x = 21,544,597.99
  5. Step 5: Solve for x
    x = 21,544,597.99/5,302.13
  6. Step 6: Final answer
    x = 4,063.39

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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.