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Finding the Fourth Proportional to 3,312.43, 4,970 and 1,752.01

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Solution

The fourth proportional to 3,312.43, 4,970 and 1,752.01 is: 2,628.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.43 : 4,970 = 1,752.01 : x
  2. Step 2: Convert to fraction form
    3,312.43/4,970 = 1,752.01/x
  3. Step 3: Cross multiply
    3,312.43x = 4,970 × 1,752.01
  4. Step 4: Simplify right side
    3,312.43x = 8,707,489.70
  5. Step 5: Solve for x
    x = 8,707,489.70/3,312.43
  6. Step 6: Final answer
    x = 2,628.73

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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.