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Finding the Fourth Proportional to 5,643.30, 8,431.86 and 5,643.30

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Solution

The fourth proportional to 5,643.30, 8,431.86 and 5,643.30 is: 8,431.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.30 : 8,431.86 = 5,643.30 : x
  2. Step 2: Convert to fraction form
    5,643.30/8,431.86 = 5,643.30/x
  3. Step 3: Cross multiply
    5,643.30x = 8,431.86 × 5,643.30
  4. Step 4: Simplify right side
    5,643.30x = 47,583,515.54
  5. Step 5: Solve for x
    x = 47,583,515.54/5,643.30
  6. Step 6: Final answer
    x = 8,431.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.