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Finding the Fourth Proportional to 5,302.37, 7,316.72 and 3,064.97

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Solution

The fourth proportional to 5,302.37, 7,316.72 and 3,064.97 is: 4,229.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.37 : 7,316.72 = 3,064.97 : x
  2. Step 2: Convert to fraction form
    5,302.37/7,316.72 = 3,064.97/x
  3. Step 3: Cross multiply
    5,302.37x = 7,316.72 × 3,064.97
  4. Step 4: Simplify right side
    5,302.37x = 22,425,498.38
  5. Step 5: Solve for x
    x = 22,425,498.38/5,302.37
  6. Step 6: Final answer
    x = 4,229.34

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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.