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Finding the Fourth Proportional to 4,941.54, 7,377.08 and 4,768.50

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Solution

The fourth proportional to 4,941.54, 7,377.08 and 4,768.50 is: 7,118.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.54 : 7,377.08 = 4,768.50 : x
  2. Step 2: Convert to fraction form
    4,941.54/7,377.08 = 4,768.50/x
  3. Step 3: Cross multiply
    4,941.54x = 7,377.08 × 4,768.50
  4. Step 4: Simplify right side
    4,941.54x = 35,177,605.98
  5. Step 5: Solve for x
    x = 35,177,605.98/4,941.54
  6. Step 6: Final answer
    x = 7,118.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.