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Finding the Fourth Proportional to 5,577.66, 7,697.81 and 3,339.53

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Solution

The fourth proportional to 5,577.66, 7,697.81 and 3,339.53 is: 4,608.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.66 : 7,697.81 = 3,339.53 : x
  2. Step 2: Convert to fraction form
    5,577.66/7,697.81 = 3,339.53/x
  3. Step 3: Cross multiply
    5,577.66x = 7,697.81 × 3,339.53
  4. Step 4: Simplify right side
    5,577.66x = 25,707,095.02
  5. Step 5: Solve for x
    x = 25,707,095.02/5,577.66
  6. Step 6: Final answer
    x = 4,608.94

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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.