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Finding the Fourth Proportional to 5,624, 8,435.08 and 2,503.24

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Solution

The fourth proportional to 5,624, 8,435.08 and 2,503.24 is: 3,754.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624 : 8,435.08 = 2,503.24 : x
  2. Step 2: Convert to fraction form
    5,624/8,435.08 = 2,503.24/x
  3. Step 3: Cross multiply
    5,624x = 8,435.08 × 2,503.24
  4. Step 4: Simplify right side
    5,624x = 21,115,029.66
  5. Step 5: Solve for x
    x = 21,115,029.66/5,624
  6. Step 6: Final answer
    x = 3,754.45

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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.