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Finding the Fourth Proportional to 5,344.48, 8,018.34 and 3,787.50

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Solution

The fourth proportional to 5,344.48, 8,018.34 and 3,787.50 is: 5,682.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.48 : 8,018.34 = 3,787.50 : x
  2. Step 2: Convert to fraction form
    5,344.48/8,018.34 = 3,787.50/x
  3. Step 3: Cross multiply
    5,344.48x = 8,018.34 × 3,787.50
  4. Step 4: Simplify right side
    5,344.48x = 30,369,462.75
  5. Step 5: Solve for x
    x = 30,369,462.75/5,344.48
  6. Step 6: Final answer
    x = 5,682.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.