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Finding the Fourth Proportional to 5,655.58, 7,804.49 and 3,137.80

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Solution

The fourth proportional to 5,655.58, 7,804.49 and 3,137.80 is: 4,330.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.58 : 7,804.49 = 3,137.80 : x
  2. Step 2: Convert to fraction form
    5,655.58/7,804.49 = 3,137.80/x
  3. Step 3: Cross multiply
    5,655.58x = 7,804.49 × 3,137.80
  4. Step 4: Simplify right side
    5,655.58x = 24,488,917.06
  5. Step 5: Solve for x
    x = 24,488,917.06/5,655.58
  6. Step 6: Final answer
    x = 4,330.05

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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.