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Finding the Fourth Proportional to 5,782.91, 7,980.39 and 3,130.35

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Solution

The fourth proportional to 5,782.91, 7,980.39 and 3,130.35 is: 4,319.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.91 : 7,980.39 = 3,130.35 : x
  2. Step 2: Convert to fraction form
    5,782.91/7,980.39 = 3,130.35/x
  3. Step 3: Cross multiply
    5,782.91x = 7,980.39 × 3,130.35
  4. Step 4: Simplify right side
    5,782.91x = 24,981,413.84
  5. Step 5: Solve for x
    x = 24,981,413.84/5,782.91
  6. Step 6: Final answer
    x = 4,319.87

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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.