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Finding the Fourth Proportional to 5,654.90, 7,807.81 and 3,770.93

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Solution

The fourth proportional to 5,654.90, 7,807.81 and 3,770.93 is: 5,206.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.90 : 7,807.81 = 3,770.93 : x
  2. Step 2: Convert to fraction form
    5,654.90/7,807.81 = 3,770.93/x
  3. Step 3: Cross multiply
    5,654.90x = 7,807.81 × 3,770.93
  4. Step 4: Simplify right side
    5,654.90x = 29,442,647.07
  5. Step 5: Solve for x
    x = 29,442,647.07/5,654.90
  6. Step 6: Final answer
    x = 5,206.57

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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.