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Finding the Fourth Proportional to 5,624.50, 8,435.97 and 3,092.40

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Solution

The fourth proportional to 5,624.50, 8,435.97 and 3,092.40 is: 4,638.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.50 : 8,435.97 = 3,092.40 : x
  2. Step 2: Convert to fraction form
    5,624.50/8,435.97 = 3,092.40/x
  3. Step 3: Cross multiply
    5,624.50x = 8,435.97 × 3,092.40
  4. Step 4: Simplify right side
    5,624.50x = 26,087,393.63
  5. Step 5: Solve for x
    x = 26,087,393.63/5,624.50
  6. Step 6: Final answer
    x = 4,638.17

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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.