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Finding the Fourth Proportional to 5,086.52, 7,630.05 and 1,623.50

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Solution

The fourth proportional to 5,086.52, 7,630.05 and 1,623.50 is: 2,435.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086.52 : 7,630.05 = 1,623.50 : x
  2. Step 2: Convert to fraction form
    5,086.52/7,630.05 = 1,623.50/x
  3. Step 3: Cross multiply
    5,086.52x = 7,630.05 × 1,623.50
  4. Step 4: Simplify right side
    5,086.52x = 12,387,386.18
  5. Step 5: Solve for x
    x = 12,387,386.18/5,086.52
  6. Step 6: Final answer
    x = 2,435.34

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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.