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Finding the Fourth Proportional to 4,764.90, 6,575.80 and 2,876.46

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Solution

The fourth proportional to 4,764.90, 6,575.80 and 2,876.46 is: 3,969.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.90 : 6,575.80 = 2,876.46 : x
  2. Step 2: Convert to fraction form
    4,764.90/6,575.80 = 2,876.46/x
  3. Step 3: Cross multiply
    4,764.90x = 6,575.80 × 2,876.46
  4. Step 4: Simplify right side
    4,764.90x = 18,915,025.67
  5. Step 5: Solve for x
    x = 18,915,025.67/4,764.90
  6. Step 6: Final answer
    x = 3,969.66

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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.