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Finding the Fourth Proportional to 5,374.34, 7,420.03 and 4,382

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Solution

The fourth proportional to 5,374.34, 7,420.03 and 4,382 is: 6,049.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374.34 : 7,420.03 = 4,382 : x
  2. Step 2: Convert to fraction form
    5,374.34/7,420.03 = 4,382/x
  3. Step 3: Cross multiply
    5,374.34x = 7,420.03 × 4,382
  4. Step 4: Simplify right side
    5,374.34x = 32,514,571.46
  5. Step 5: Solve for x
    x = 32,514,571.46/5,374.34
  6. Step 6: Final answer
    x = 6,049.97

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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.