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Finding the Fourth Proportional to 3,762.88, 5,189.38 and 2,435.20

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Solution

The fourth proportional to 3,762.88, 5,189.38 and 2,435.20 is: 3,358.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.88 : 5,189.38 = 2,435.20 : x
  2. Step 2: Convert to fraction form
    3,762.88/5,189.38 = 2,435.20/x
  3. Step 3: Cross multiply
    3,762.88x = 5,189.38 × 2,435.20
  4. Step 4: Simplify right side
    3,762.88x = 12,637,178.18
  5. Step 5: Solve for x
    x = 12,637,178.18/3,762.88
  6. Step 6: Final answer
    x = 3,358.38

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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.