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Finding the Fourth Proportional to 5,111.34, 7,655.40 and 4,520.22

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Solution

The fourth proportional to 5,111.34, 7,655.40 and 4,520.22 is: 6,770.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.34 : 7,655.40 = 4,520.22 : x
  2. Step 2: Convert to fraction form
    5,111.34/7,655.40 = 4,520.22/x
  3. Step 3: Cross multiply
    5,111.34x = 7,655.40 × 4,520.22
  4. Step 4: Simplify right side
    5,111.34x = 34,604,092.19
  5. Step 5: Solve for x
    x = 34,604,092.19/5,111.34
  6. Step 6: Final answer
    x = 6,770.06

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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.