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Finding the Fourth Proportional to 3,460.77, 5,192.15 and 1,706.30

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Solution

The fourth proportional to 3,460.77, 5,192.15 and 1,706.30 is: 2,559.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.77 : 5,192.15 = 1,706.30 : x
  2. Step 2: Convert to fraction form
    3,460.77/5,192.15 = 1,706.30/x
  3. Step 3: Cross multiply
    3,460.77x = 5,192.15 × 1,706.30
  4. Step 4: Simplify right side
    3,460.77x = 8,859,331.05
  5. Step 5: Solve for x
    x = 8,859,331.05/3,460.77
  6. Step 6: Final answer
    x = 2,559.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.