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Finding the Fourth Proportional to 4,969.76, 7,447.95 and 2,506.34

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Solution

The fourth proportional to 4,969.76, 7,447.95 and 2,506.34 is: 3,756.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.76 : 7,447.95 = 2,506.34 : x
  2. Step 2: Convert to fraction form
    4,969.76/7,447.95 = 2,506.34/x
  3. Step 3: Cross multiply
    4,969.76x = 7,447.95 × 2,506.34
  4. Step 4: Simplify right side
    4,969.76x = 18,667,113.62
  5. Step 5: Solve for x
    x = 18,667,113.62/4,969.76
  6. Step 6: Final answer
    x = 3,756.14

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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.