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Finding the Fourth Proportional to 4,612.50, 6,920.37 and 2,015.64

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Solution

The fourth proportional to 4,612.50, 6,920.37 and 2,015.64 is: 3,024.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.50 : 6,920.37 = 2,015.64 : x
  2. Step 2: Convert to fraction form
    4,612.50/6,920.37 = 2,015.64/x
  3. Step 3: Cross multiply
    4,612.50x = 6,920.37 × 2,015.64
  4. Step 4: Simplify right side
    4,612.50x = 13,948,974.59
  5. Step 5: Solve for x
    x = 13,948,974.59/4,612.50
  6. Step 6: Final answer
    x = 3,024.17

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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.