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Finding the Fourth Proportional to 5,241.36, 7,848.66 and 3,014.22

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Solution

The fourth proportional to 5,241.36, 7,848.66 and 3,014.22 is: 4,513.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.36 : 7,848.66 = 3,014.22 : x
  2. Step 2: Convert to fraction form
    5,241.36/7,848.66 = 3,014.22/x
  3. Step 3: Cross multiply
    5,241.36x = 7,848.66 × 3,014.22
  4. Step 4: Simplify right side
    5,241.36x = 23,657,587.95
  5. Step 5: Solve for x
    x = 23,657,587.95/5,241.36
  6. Step 6: Final answer
    x = 4,513.64

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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.