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Finding the Fourth Proportional to 5,347.17, 7,381.62 and 4,021.38

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Solution

The fourth proportional to 5,347.17, 7,381.62 and 4,021.38 is: 5,551.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.17 : 7,381.62 = 4,021.38 : x
  2. Step 2: Convert to fraction form
    5,347.17/7,381.62 = 4,021.38/x
  3. Step 3: Cross multiply
    5,347.17x = 7,381.62 × 4,021.38
  4. Step 4: Simplify right side
    5,347.17x = 29,684,299.04
  5. Step 5: Solve for x
    x = 29,684,299.04/5,347.17
  6. Step 6: Final answer
    x = 5,551.40

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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.