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Finding the Fourth Proportional to 5,364, 7,402.48 and 3,006.16

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Solution

The fourth proportional to 5,364, 7,402.48 and 3,006.16 is: 4,148.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364 : 7,402.48 = 3,006.16 : x
  2. Step 2: Convert to fraction form
    5,364/7,402.48 = 3,006.16/x
  3. Step 3: Cross multiply
    5,364x = 7,402.48 × 3,006.16
  4. Step 4: Simplify right side
    5,364x = 22,253,039.28
  5. Step 5: Solve for x
    x = 22,253,039.28/5,364
  6. Step 6: Final answer
    x = 4,148.59

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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.