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Finding the Fourth Proportional to 5,307.54, 7,951.77 and 2,964.75

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Solution

The fourth proportional to 5,307.54, 7,951.77 and 2,964.75 is: 4,441.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.54 : 7,951.77 = 2,964.75 : x
  2. Step 2: Convert to fraction form
    5,307.54/7,951.77 = 2,964.75/x
  3. Step 3: Cross multiply
    5,307.54x = 7,951.77 × 2,964.75
  4. Step 4: Simplify right side
    5,307.54x = 23,575,010.11
  5. Step 5: Solve for x
    x = 23,575,010.11/5,307.54
  6. Step 6: Final answer
    x = 4,441.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.