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Finding the Fourth Proportional to 4,764.30, 7,135.65 and 3,014.70

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Solution

The fourth proportional to 4,764.30, 7,135.65 and 3,014.70 is: 4,515.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.30 : 7,135.65 = 3,014.70 : x
  2. Step 2: Convert to fraction form
    4,764.30/7,135.65 = 3,014.70/x
  3. Step 3: Cross multiply
    4,764.30x = 7,135.65 × 3,014.70
  4. Step 4: Simplify right side
    4,764.30x = 21,511,844.06
  5. Step 5: Solve for x
    x = 21,511,844.06/4,764.30
  6. Step 6: Final answer
    x = 4,515.22

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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.