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Finding the Fourth Proportional to 5,153.37, 7,740.39 and 3,077.43

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Solution

The fourth proportional to 5,153.37, 7,740.39 and 3,077.43 is: 4,622.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.37 : 7,740.39 = 3,077.43 : x
  2. Step 2: Convert to fraction form
    5,153.37/7,740.39 = 3,077.43/x
  3. Step 3: Cross multiply
    5,153.37x = 7,740.39 × 3,077.43
  4. Step 4: Simplify right side
    5,153.37x = 23,820,508.40
  5. Step 5: Solve for x
    x = 23,820,508.40/5,153.37
  6. Step 6: Final answer
    x = 4,622.32

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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.