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Finding the Fourth Proportional to 3,677.63, 5,071.63 and 2,419.75

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Solution

The fourth proportional to 3,677.63, 5,071.63 and 2,419.75 is: 3,336.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.63 : 5,071.63 = 2,419.75 : x
  2. Step 2: Convert to fraction form
    3,677.63/5,071.63 = 2,419.75/x
  3. Step 3: Cross multiply
    3,677.63x = 5,071.63 × 2,419.75
  4. Step 4: Simplify right side
    3,677.63x = 12,272,064.01
  5. Step 5: Solve for x
    x = 12,272,064.01/3,677.63
  6. Step 6: Final answer
    x = 3,336.95

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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.