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Finding the Fourth Proportional to 3,698.88, 5,548.32 and 2,468.68

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Solution

The fourth proportional to 3,698.88, 5,548.32 and 2,468.68 is: 3,703.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.88 : 5,548.32 = 2,468.68 : x
  2. Step 2: Convert to fraction form
    3,698.88/5,548.32 = 2,468.68/x
  3. Step 3: Cross multiply
    3,698.88x = 5,548.32 × 2,468.68
  4. Step 4: Simplify right side
    3,698.88x = 13,697,026.62
  5. Step 5: Solve for x
    x = 13,697,026.62/3,698.88
  6. Step 6: Final answer
    x = 3,703.02

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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.