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Finding the Fourth Proportional to 5,352.68, 8,018.14 and 4,369

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Solution

The fourth proportional to 5,352.68, 8,018.14 and 4,369 is: 6,544.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,352.68 : 8,018.14 = 4,369 : x
  2. Step 2: Convert to fraction form
    5,352.68/8,018.14 = 4,369/x
  3. Step 3: Cross multiply
    5,352.68x = 8,018.14 × 4,369
  4. Step 4: Simplify right side
    5,352.68x = 35,031,253.66
  5. Step 5: Solve for x
    x = 35,031,253.66/5,352.68
  6. Step 6: Final answer
    x = 6,544.62

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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.