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Finding the Fourth Proportional to 5,593.50, 8,392.08 and 1,697.91

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Solution

The fourth proportional to 5,593.50, 8,392.08 and 1,697.91 is: 2,547.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,593.50 : 8,392.08 = 1,697.91 : x
  2. Step 2: Convert to fraction form
    5,593.50/8,392.08 = 1,697.91/x
  3. Step 3: Cross multiply
    5,593.50x = 8,392.08 × 1,697.91
  4. Step 4: Simplify right side
    5,593.50x = 14,248,996.55
  5. Step 5: Solve for x
    x = 14,248,996.55/5,593.50
  6. Step 6: Final answer
    x = 2,547.42

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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.