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Finding the Fourth Proportional to 5,696.46, 7,861.66 and 3,457.82

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Solution

The fourth proportional to 5,696.46, 7,861.66 and 3,457.82 is: 4,772.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.46 : 7,861.66 = 3,457.82 : x
  2. Step 2: Convert to fraction form
    5,696.46/7,861.66 = 3,457.82/x
  3. Step 3: Cross multiply
    5,696.46x = 7,861.66 × 3,457.82
  4. Step 4: Simplify right side
    5,696.46x = 27,184,216.19
  5. Step 5: Solve for x
    x = 27,184,216.19/5,696.46
  6. Step 6: Final answer
    x = 4,772.12

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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.