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Finding the Fourth Proportional to 5,764.14, 8,645.34 and 1,603.71

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Solution

The fourth proportional to 5,764.14, 8,645.34 and 1,603.71 is: 2,405.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.14 : 8,645.34 = 1,603.71 : x
  2. Step 2: Convert to fraction form
    5,764.14/8,645.34 = 1,603.71/x
  3. Step 3: Cross multiply
    5,764.14x = 8,645.34 × 1,603.71
  4. Step 4: Simplify right side
    5,764.14x = 13,864,618.21
  5. Step 5: Solve for x
    x = 13,864,618.21/5,764.14
  6. Step 6: Final answer
    x = 2,405.32

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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.