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Finding the Fourth Proportional to 3,623.01, 5,435.22 and 1,542.99

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Solution

The fourth proportional to 3,623.01, 5,435.22 and 1,542.99 is: 2,314.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,623.01 : 5,435.22 = 1,542.99 : x
  2. Step 2: Convert to fraction form
    3,623.01/5,435.22 = 1,542.99/x
  3. Step 3: Cross multiply
    3,623.01x = 5,435.22 × 1,542.99
  4. Step 4: Simplify right side
    3,623.01x = 8,386,490.11
  5. Step 5: Solve for x
    x = 8,386,490.11/3,623.01
  6. Step 6: Final answer
    x = 2,314.79

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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.