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Finding the Fourth Proportional to 5,825.70, 8,739.63 and 5,297.52

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Solution

The fourth proportional to 5,825.70, 8,739.63 and 5,297.52 is: 7,947.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.70 : 8,739.63 = 5,297.52 : x
  2. Step 2: Convert to fraction form
    5,825.70/8,739.63 = 5,297.52/x
  3. Step 3: Cross multiply
    5,825.70x = 8,739.63 × 5,297.52
  4. Step 4: Simplify right side
    5,825.70x = 46,298,364.72
  5. Step 5: Solve for x
    x = 46,298,364.72/5,825.70
  6. Step 6: Final answer
    x = 7,947.26

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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.