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Finding the Fourth Proportional to 5,573.99, 8,361 and 1,414

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Solution

The fourth proportional to 5,573.99, 8,361 and 1,414 is: 2,121.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,573.99 : 8,361 = 1,414 : x
  2. Step 2: Convert to fraction form
    5,573.99/8,361 = 1,414/x
  3. Step 3: Cross multiply
    5,573.99x = 8,361 × 1,414
  4. Step 4: Simplify right side
    5,573.99x = 11,822,454
  5. Step 5: Solve for x
    x = 11,822,454/5,573.99
  6. Step 6: Final answer
    x = 2,121.00

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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.