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Finding the Fourth Proportional to 5,262.87, 7,892.29 and 1,752.21

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Solution

The fourth proportional to 5,262.87, 7,892.29 and 1,752.21 is: 2,627.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.87 : 7,892.29 = 1,752.21 : x
  2. Step 2: Convert to fraction form
    5,262.87/7,892.29 = 1,752.21/x
  3. Step 3: Cross multiply
    5,262.87x = 7,892.29 × 1,752.21
  4. Step 4: Simplify right side
    5,262.87x = 13,828,949.46
  5. Step 5: Solve for x
    x = 13,828,949.46/5,262.87
  6. Step 6: Final answer
    x = 2,627.64

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1.5x scale

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.