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Finding the Fourth Proportional to 3,329.52, 4,994.28 and 1,021

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Solution

The fourth proportional to 3,329.52, 4,994.28 and 1,021 is: 1,531.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,329.52 : 4,994.28 = 1,021 : x
  2. Step 2: Convert to fraction form
    3,329.52/4,994.28 = 1,021/x
  3. Step 3: Cross multiply
    3,329.52x = 4,994.28 × 1,021
  4. Step 4: Simplify right side
    3,329.52x = 5,099,159.88
  5. Step 5: Solve for x
    x = 5,099,159.88/3,329.52
  6. Step 6: Final answer
    x = 1,531.50

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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.