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Finding the Fourth Proportional to 5,655.94, 7,805.22 and 3,417.41

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Solution

The fourth proportional to 5,655.94, 7,805.22 and 3,417.41 is: 4,716.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.94 : 7,805.22 = 3,417.41 : x
  2. Step 2: Convert to fraction form
    5,655.94/7,805.22 = 3,417.41/x
  3. Step 3: Cross multiply
    5,655.94x = 7,805.22 × 3,417.41
  4. Step 4: Simplify right side
    5,655.94x = 26,673,636.88
  5. Step 5: Solve for x
    x = 26,673,636.88/5,655.94
  6. Step 6: Final answer
    x = 4,716.04

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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.