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Finding the Fourth Proportional to 4,799.71, 7,181.73 and 4,211.95

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Solution

The fourth proportional to 4,799.71, 7,181.73 and 4,211.95 is: 6,302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,799.71 : 7,181.73 = 4,211.95 : x
  2. Step 2: Convert to fraction form
    4,799.71/7,181.73 = 4,211.95/x
  3. Step 3: Cross multiply
    4,799.71x = 7,181.73 × 4,211.95
  4. Step 4: Simplify right side
    4,799.71x = 30,249,087.67
  5. Step 5: Solve for x
    x = 30,249,087.67/4,799.71
  6. Step 6: Final answer
    x = 6,302.27

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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.