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Finding the Fourth Proportional to 5,633.77, 8,450.65 and 1,738.17

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Solution

The fourth proportional to 5,633.77, 8,450.65 and 1,738.17 is: 2,607.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.77 : 8,450.65 = 1,738.17 : x
  2. Step 2: Convert to fraction form
    5,633.77/8,450.65 = 1,738.17/x
  3. Step 3: Cross multiply
    5,633.77x = 8,450.65 × 1,738.17
  4. Step 4: Simplify right side
    5,633.77x = 14,688,666.31
  5. Step 5: Solve for x
    x = 14,688,666.31/5,633.77
  6. Step 6: Final answer
    x = 2,607.25

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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.