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Finding the Fourth Proportional to 5,577.53, 7,697.09 and 3,059.48

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Solution

The fourth proportional to 5,577.53, 7,697.09 and 3,059.48 is: 4,222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.53 : 7,697.09 = 3,059.48 : x
  2. Step 2: Convert to fraction form
    5,577.53/7,697.09 = 3,059.48/x
  3. Step 3: Cross multiply
    5,577.53x = 7,697.09 × 3,059.48
  4. Step 4: Simplify right side
    5,577.53x = 23,549,039.13
  5. Step 5: Solve for x
    x = 23,549,039.13/5,577.53
  6. Step 6: Final answer
    x = 4,222.13

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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.