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Finding the Fourth Proportional to 5,778.86, 7,970.55 and 3,683.66

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Solution

The fourth proportional to 5,778.86, 7,970.55 and 3,683.66 is: 5,080.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.86 : 7,970.55 = 3,683.66 : x
  2. Step 2: Convert to fraction form
    5,778.86/7,970.55 = 3,683.66/x
  3. Step 3: Cross multiply
    5,778.86x = 7,970.55 × 3,683.66
  4. Step 4: Simplify right side
    5,778.86x = 29,360,796.21
  5. Step 5: Solve for x
    x = 29,360,796.21/5,778.86
  6. Step 6: Final answer
    x = 5,080.72

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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.