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Finding the Fourth Proportional to 6,337.15, 8,748.32 and 4,216.21

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Solution

The fourth proportional to 6,337.15, 8,748.32 and 4,216.21 is: 5,820.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.15 : 8,748.32 = 4,216.21 : x
  2. Step 2: Convert to fraction form
    6,337.15/8,748.32 = 4,216.21/x
  3. Step 3: Cross multiply
    6,337.15x = 8,748.32 × 4,216.21
  4. Step 4: Simplify right side
    6,337.15x = 36,884,754.27
  5. Step 5: Solve for x
    x = 36,884,754.27/6,337.15
  6. Step 6: Final answer
    x = 5,820.40

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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.