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Finding the Fourth Proportional to 5,384.22, 7,430.19 and 3,026.39

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Solution

The fourth proportional to 5,384.22, 7,430.19 and 3,026.39 is: 4,176.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.22 : 7,430.19 = 3,026.39 : x
  2. Step 2: Convert to fraction form
    5,384.22/7,430.19 = 3,026.39/x
  3. Step 3: Cross multiply
    5,384.22x = 7,430.19 × 3,026.39
  4. Step 4: Simplify right side
    5,384.22x = 22,486,615.56
  5. Step 5: Solve for x
    x = 22,486,615.56/5,384.22
  6. Step 6: Final answer
    x = 4,176.39

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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.