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Finding the Fourth Proportional to 5,655.13, 7,804.17 and 3,137.35

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Solution

The fourth proportional to 5,655.13, 7,804.17 and 3,137.35 is: 4,329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.13 : 7,804.17 = 3,137.35 : x
  2. Step 2: Convert to fraction form
    5,655.13/7,804.17 = 3,137.35/x
  3. Step 3: Cross multiply
    5,655.13x = 7,804.17 × 3,137.35
  4. Step 4: Simplify right side
    5,655.13x = 24,484,373.73
  5. Step 5: Solve for x
    x = 24,484,373.73/5,655.13
  6. Step 6: Final answer
    x = 4,329.59

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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.