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Finding the Fourth Proportional to 5,655.36, 7,804.35 and 3,137.49

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Solution

The fourth proportional to 5,655.36, 7,804.35 and 3,137.49 is: 4,329.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.36 : 7,804.35 = 3,137.49 : x
  2. Step 2: Convert to fraction form
    5,655.36/7,804.35 = 3,137.49/x
  3. Step 3: Cross multiply
    5,655.36x = 7,804.35 × 3,137.49
  4. Step 4: Simplify right side
    5,655.36x = 24,486,070.08
  5. Step 5: Solve for x
    x = 24,486,070.08/5,655.36
  6. Step 6: Final answer
    x = 4,329.71

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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.