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Finding the Fourth Proportional to 5,373.34, 7,418.65 and 4,381

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Solution

The fourth proportional to 5,373.34, 7,418.65 and 4,381 is: 6,048.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,373.34 : 7,418.65 = 4,381 : x
  2. Step 2: Convert to fraction form
    5,373.34/7,418.65 = 4,381/x
  3. Step 3: Cross multiply
    5,373.34x = 7,418.65 × 4,381
  4. Step 4: Simplify right side
    5,373.34x = 32,501,105.65
  5. Step 5: Solve for x
    x = 32,501,105.65/5,373.34
  6. Step 6: Final answer
    x = 6,048.59

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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.