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Finding the Fourth Proportional to 5,077.53, 7,604.46 and 4,937.40

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Solution

The fourth proportional to 5,077.53, 7,604.46 and 4,937.40 is: 7,394.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.53 : 7,604.46 = 4,937.40 : x
  2. Step 2: Convert to fraction form
    5,077.53/7,604.46 = 4,937.40/x
  3. Step 3: Cross multiply
    5,077.53x = 7,604.46 × 4,937.40
  4. Step 4: Simplify right side
    5,077.53x = 37,546,260.80
  5. Step 5: Solve for x
    x = 37,546,260.80/5,077.53
  6. Step 6: Final answer
    x = 7,394.59

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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.