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Finding the Fourth Proportional to 5,182.86, 7,152.34 and 2,825.00

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Solution

The fourth proportional to 5,182.86, 7,152.34 and 2,825.00 is: 3,898.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.86 : 7,152.34 = 2,825.00 : x
  2. Step 2: Convert to fraction form
    5,182.86/7,152.34 = 2,825.00/x
  3. Step 3: Cross multiply
    5,182.86x = 7,152.34 × 2,825.00
  4. Step 4: Simplify right side
    5,182.86x = 20,205,365.94
  5. Step 5: Solve for x
    x = 20,205,365.94/5,182.86
  6. Step 6: Final answer
    x = 3,898.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.