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Finding the Fourth Proportional to 5,476.52, 8,216.00 and 1,580.63

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Solution

The fourth proportional to 5,476.52, 8,216.00 and 1,580.63 is: 2,371.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476.52 : 8,216.00 = 1,580.63 : x
  2. Step 2: Convert to fraction form
    5,476.52/8,216.00 = 1,580.63/x
  3. Step 3: Cross multiply
    5,476.52x = 8,216.00 × 1,580.63
  4. Step 4: Simplify right side
    5,476.52x = 12,986,413.02
  5. Step 5: Solve for x
    x = 12,986,413.02/5,476.52
  6. Step 6: Final answer
    x = 2,371.29

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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.