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Finding the Fourth Proportional to 3,261.71, 4,892.52 and 953.21

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Solution

The fourth proportional to 3,261.71, 4,892.52 and 953.21 is: 1,429.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.71 : 4,892.52 = 953.21 : x
  2. Step 2: Convert to fraction form
    3,261.71/4,892.52 = 953.21/x
  3. Step 3: Cross multiply
    3,261.71x = 4,892.52 × 953.21
  4. Step 4: Simplify right side
    3,261.71x = 4,663,598.99
  5. Step 5: Solve for x
    x = 4,663,598.99/3,261.71
  6. Step 6: Final answer
    x = 1,429.80

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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.