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Finding the Fourth Proportional to 5,600.46, 8,401.95 and 1,705.17

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Solution

The fourth proportional to 5,600.46, 8,401.95 and 1,705.17 is: 2,558.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600.46 : 8,401.95 = 1,705.17 : x
  2. Step 2: Convert to fraction form
    5,600.46/8,401.95 = 1,705.17/x
  3. Step 3: Cross multiply
    5,600.46x = 8,401.95 × 1,705.17
  4. Step 4: Simplify right side
    5,600.46x = 14,326,744.56
  5. Step 5: Solve for x
    x = 14,326,744.56/5,600.46
  6. Step 6: Final answer
    x = 2,558.14

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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.