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Finding the Fourth Proportional to 5,630.77, 8,446.15 and 1,735.17

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Solution

The fourth proportional to 5,630.77, 8,446.15 and 1,735.17 is: 2,602.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.77 : 8,446.15 = 1,735.17 : x
  2. Step 2: Convert to fraction form
    5,630.77/8,446.15 = 1,735.17/x
  3. Step 3: Cross multiply
    5,630.77x = 8,446.15 × 1,735.17
  4. Step 4: Simplify right side
    5,630.77x = 14,655,519.22
  5. Step 5: Solve for x
    x = 14,655,519.22/5,630.77
  6. Step 6: Final answer
    x = 2,602.76

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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.