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Finding the Fourth Proportional to 5,122.40, 7,677.18 and 2,655.80

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Solution

The fourth proportional to 5,122.40, 7,677.18 and 2,655.80 is: 3,980.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.40 : 7,677.18 = 2,655.80 : x
  2. Step 2: Convert to fraction form
    5,122.40/7,677.18 = 2,655.80/x
  3. Step 3: Cross multiply
    5,122.40x = 7,677.18 × 2,655.80
  4. Step 4: Simplify right side
    5,122.40x = 20,389,054.64
  5. Step 5: Solve for x
    x = 20,389,054.64/5,122.40
  6. Step 6: Final answer
    x = 3,980.37

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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.