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Finding the Fourth Proportional to 3,730.44, 5,593.14 and 2,088.12

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Solution

The fourth proportional to 3,730.44, 5,593.14 and 2,088.12 is: 3,130.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.44 : 5,593.14 = 2,088.12 : x
  2. Step 2: Convert to fraction form
    3,730.44/5,593.14 = 2,088.12/x
  3. Step 3: Cross multiply
    3,730.44x = 5,593.14 × 2,088.12
  4. Step 4: Simplify right side
    3,730.44x = 11,679,147.50
  5. Step 5: Solve for x
    x = 11,679,147.50/3,730.44
  6. Step 6: Final answer
    x = 3,130.77

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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.