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Finding the Fourth Proportional to 3,765.06, 5,653.26 and 2,310.30

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Solution

The fourth proportional to 3,765.06, 5,653.26 and 2,310.30 is: 3,468.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.06 : 5,653.26 = 2,310.30 : x
  2. Step 2: Convert to fraction form
    3,765.06/5,653.26 = 2,310.30/x
  3. Step 3: Cross multiply
    3,765.06x = 5,653.26 × 2,310.30
  4. Step 4: Simplify right side
    3,765.06x = 13,060,726.58
  5. Step 5: Solve for x
    x = 13,060,726.58/3,765.06
  6. Step 6: Final answer
    x = 3,468.93

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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.