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Finding the Fourth Proportional to 4,764.15, 7,130.03 and 4,180.95

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Solution

The fourth proportional to 4,764.15, 7,130.03 and 4,180.95 is: 6,257.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.15 : 7,130.03 = 4,180.95 : x
  2. Step 2: Convert to fraction form
    4,764.15/7,130.03 = 4,180.95/x
  3. Step 3: Cross multiply
    4,764.15x = 7,130.03 × 4,180.95
  4. Step 4: Simplify right side
    4,764.15x = 29,810,278.02
  5. Step 5: Solve for x
    x = 29,810,278.02/4,764.15
  6. Step 6: Final answer
    x = 6,257.21

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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.