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Finding the Fourth Proportional to 5,654.93, 7,804.26 and 3,137.85

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Solution

The fourth proportional to 5,654.93, 7,804.26 and 3,137.85 is: 4,330.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.93 : 7,804.26 = 3,137.85 : x
  2. Step 2: Convert to fraction form
    5,654.93/7,804.26 = 3,137.85/x
  3. Step 3: Cross multiply
    5,654.93x = 7,804.26 × 3,137.85
  4. Step 4: Simplify right side
    5,654.93x = 24,488,597.24
  5. Step 5: Solve for x
    x = 24,488,597.24/5,654.93
  6. Step 6: Final answer
    x = 4,330.49

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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.