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Finding the Fourth Proportional to 3,405.74, 4,696.31 and 2,696.45

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Solution

The fourth proportional to 3,405.74, 4,696.31 and 2,696.45 is: 3,718.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.74 : 4,696.31 = 2,696.45 : x
  2. Step 2: Convert to fraction form
    3,405.74/4,696.31 = 2,696.45/x
  3. Step 3: Cross multiply
    3,405.74x = 4,696.31 × 2,696.45
  4. Step 4: Simplify right side
    3,405.74x = 12,663,328.14
  5. Step 5: Solve for x
    x = 12,663,328.14/3,405.74
  6. Step 6: Final answer
    x = 3,718.24

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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.