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Finding the Fourth Proportional to 5,762.68, 8,642.70 and 2,252.81

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Solution

The fourth proportional to 5,762.68, 8,642.70 and 2,252.81 is: 3,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.68 : 8,642.70 = 2,252.81 : x
  2. Step 2: Convert to fraction form
    5,762.68/8,642.70 = 2,252.81/x
  3. Step 3: Cross multiply
    5,762.68x = 8,642.70 × 2,252.81
  4. Step 4: Simplify right side
    5,762.68x = 19,470,382.59
  5. Step 5: Solve for x
    x = 19,470,382.59/5,762.68
  6. Step 6: Final answer
    x = 3,378.70

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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.