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Finding the Fourth Proportional to 4,970.29, 7,456.38 and 1,682.50

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Solution

The fourth proportional to 4,970.29, 7,456.38 and 1,682.50 is: 2,524.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.29 : 7,456.38 = 1,682.50 : x
  2. Step 2: Convert to fraction form
    4,970.29/7,456.38 = 1,682.50/x
  3. Step 3: Cross multiply
    4,970.29x = 7,456.38 × 1,682.50
  4. Step 4: Simplify right side
    4,970.29x = 12,545,359.35
  5. Step 5: Solve for x
    x = 12,545,359.35/4,970.29
  6. Step 6: Final answer
    x = 2,524.07

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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.