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Finding the Fourth Proportional to 5,655.90, 7,807.82 and 3,770.63

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Solution

The fourth proportional to 5,655.90, 7,807.82 and 3,770.63 is: 5,205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.90 : 7,807.82 = 3,770.63 : x
  2. Step 2: Convert to fraction form
    5,655.90/7,807.82 = 3,770.63/x
  3. Step 3: Cross multiply
    5,655.90x = 7,807.82 × 3,770.63
  4. Step 4: Simplify right side
    5,655.90x = 29,440,400.33
  5. Step 5: Solve for x
    x = 29,440,400.33/5,655.90
  6. Step 6: Final answer
    x = 5,205.25

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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.