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Finding the Fourth Proportional to 5,381.91, 7,427.63 and 3,024

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Solution

The fourth proportional to 5,381.91, 7,427.63 and 3,024 is: 4,173.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.91 : 7,427.63 = 3,024 : x
  2. Step 2: Convert to fraction form
    5,381.91/7,427.63 = 3,024/x
  3. Step 3: Cross multiply
    5,381.91x = 7,427.63 × 3,024
  4. Step 4: Simplify right side
    5,381.91x = 22,461,160.68
  5. Step 5: Solve for x
    x = 22,461,160.68/5,381.91
  6. Step 6: Final answer
    x = 4,173.46

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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.