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Finding the Fourth Proportional to 3,077.88, 4,615.38 and 886.11

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Solution

The fourth proportional to 3,077.88, 4,615.38 and 886.11 is: 1,328.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.88 : 4,615.38 = 886.11 : x
  2. Step 2: Convert to fraction form
    3,077.88/4,615.38 = 886.11/x
  3. Step 3: Cross multiply
    3,077.88x = 4,615.38 × 886.11
  4. Step 4: Simplify right side
    3,077.88x = 4,089,734.37
  5. Step 5: Solve for x
    x = 4,089,734.37/3,077.88
  6. Step 6: Final answer
    x = 1,328.75

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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.