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Finding the Fourth Proportional to 5,762.25, 8,643.38 and 2,064.71

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Solution

The fourth proportional to 5,762.25, 8,643.38 and 2,064.71 is: 3,097.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.25 : 8,643.38 = 2,064.71 : x
  2. Step 2: Convert to fraction form
    5,762.25/8,643.38 = 2,064.71/x
  3. Step 3: Cross multiply
    5,762.25x = 8,643.38 × 2,064.71
  4. Step 4: Simplify right side
    5,762.25x = 17,846,019.58
  5. Step 5: Solve for x
    x = 17,846,019.58/5,762.25
  6. Step 6: Final answer
    x = 3,097.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.