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Finding the Fourth Proportional to 3,814.49, 5,698.62 and 2,416.64

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Solution

The fourth proportional to 3,814.49, 5,698.62 and 2,416.64 is: 3,610.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.49 : 5,698.62 = 2,416.64 : x
  2. Step 2: Convert to fraction form
    3,814.49/5,698.62 = 2,416.64/x
  3. Step 3: Cross multiply
    3,814.49x = 5,698.62 × 2,416.64
  4. Step 4: Simplify right side
    3,814.49x = 13,771,500.95
  5. Step 5: Solve for x
    x = 13,771,500.95/3,814.49
  6. Step 6: Final answer
    x = 3,610.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.