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Finding the Fourth Proportional to 4,153.64, 6,229.73 and 1,521

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Solution

The fourth proportional to 4,153.64, 6,229.73 and 1,521 is: 2,281.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.64 : 6,229.73 = 1,521 : x
  2. Step 2: Convert to fraction form
    4,153.64/6,229.73 = 1,521/x
  3. Step 3: Cross multiply
    4,153.64x = 6,229.73 × 1,521
  4. Step 4: Simplify right side
    4,153.64x = 9,475,411.73
  5. Step 5: Solve for x
    x = 9,475,411.73/4,153.64
  6. Step 6: Final answer
    x = 2,281.23

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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.