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Finding the Fourth Proportional to 5,384.54, 7,430.54 and 3,026.84

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Solution

The fourth proportional to 5,384.54, 7,430.54 and 3,026.84 is: 4,176.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.54 : 7,430.54 = 3,026.84 : x
  2. Step 2: Convert to fraction form
    5,384.54/7,430.54 = 3,026.84/x
  3. Step 3: Cross multiply
    5,384.54x = 7,430.54 × 3,026.84
  4. Step 4: Simplify right side
    5,384.54x = 22,491,003.41
  5. Step 5: Solve for x
    x = 22,491,003.41/5,384.54
  6. Step 6: Final answer
    x = 4,176.96

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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.