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Finding the Fourth Proportional to 4,952.50, 7,428.58 and 1,665.52

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Solution

The fourth proportional to 4,952.50, 7,428.58 and 1,665.52 is: 2,498.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.50 : 7,428.58 = 1,665.52 : x
  2. Step 2: Convert to fraction form
    4,952.50/7,428.58 = 1,665.52/x
  3. Step 3: Cross multiply
    4,952.50x = 7,428.58 × 1,665.52
  4. Step 4: Simplify right side
    4,952.50x = 12,372,448.56
  5. Step 5: Solve for x
    x = 12,372,448.56/4,952.50
  6. Step 6: Final answer
    x = 2,498.22

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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.