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Finding the Fourth Proportional to 3,762.15, 5,643.68 and 1,296.33

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Solution

The fourth proportional to 3,762.15, 5,643.68 and 1,296.33 is: 1,944.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.15 : 5,643.68 = 1,296.33 : x
  2. Step 2: Convert to fraction form
    3,762.15/5,643.68 = 1,296.33/x
  3. Step 3: Cross multiply
    3,762.15x = 5,643.68 × 1,296.33
  4. Step 4: Simplify right side
    3,762.15x = 7,316,065.21
  5. Step 5: Solve for x
    x = 7,316,065.21/3,762.15
  6. Step 6: Final answer
    x = 1,944.65

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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.