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Finding the Fourth Proportional to 4,436, 6,646.96 and 2,969.76

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Solution

The fourth proportional to 4,436, 6,646.96 and 2,969.76 is: 4,449.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,436 : 6,646.96 = 2,969.76 : x
  2. Step 2: Convert to fraction form
    4,436/6,646.96 = 2,969.76/x
  3. Step 3: Cross multiply
    4,436x = 6,646.96 × 2,969.76
  4. Step 4: Simplify right side
    4,436x = 19,739,875.93
  5. Step 5: Solve for x
    x = 19,739,875.93/4,436
  6. Step 6: Final answer
    x = 4,449.93

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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.