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Finding the Fourth Proportional to 3,677.40, 5,070.78 and 2,496.42

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Solution

The fourth proportional to 3,677.40, 5,070.78 and 2,496.42 is: 3,442.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.40 : 5,070.78 = 2,496.42 : x
  2. Step 2: Convert to fraction form
    3,677.40/5,070.78 = 2,496.42/x
  3. Step 3: Cross multiply
    3,677.40x = 5,070.78 × 2,496.42
  4. Step 4: Simplify right side
    3,677.40x = 12,658,796.61
  5. Step 5: Solve for x
    x = 12,658,796.61/3,677.40
  6. Step 6: Final answer
    x = 3,442.32

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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.