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Finding the Fourth Proportional to 5,763.14, 8,643.84 and 1,602.71

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Solution

The fourth proportional to 5,763.14, 8,643.84 and 1,602.71 is: 2,403.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.14 : 8,643.84 = 1,602.71 : x
  2. Step 2: Convert to fraction form
    5,763.14/8,643.84 = 1,602.71/x
  3. Step 3: Cross multiply
    5,763.14x = 8,643.84 × 1,602.71
  4. Step 4: Simplify right side
    5,763.14x = 13,853,525.59
  5. Step 5: Solve for x
    x = 13,853,525.59/5,763.14
  6. Step 6: Final answer
    x = 2,403.82

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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.