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Finding the Fourth Proportional to 5,778.47, 7,973.84 and 3,261.19

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Solution

The fourth proportional to 5,778.47, 7,973.84 and 3,261.19 is: 4,500.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.47 : 7,973.84 = 3,261.19 : x
  2. Step 2: Convert to fraction form
    5,778.47/7,973.84 = 3,261.19/x
  3. Step 3: Cross multiply
    5,778.47x = 7,973.84 × 3,261.19
  4. Step 4: Simplify right side
    5,778.47x = 26,004,210.90
  5. Step 5: Solve for x
    x = 26,004,210.90/5,778.47
  6. Step 6: Final answer
    x = 4,500.19

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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.