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Finding the Fourth Proportional to 5,633.30, 8,449.95 and 1,738.10

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Solution

The fourth proportional to 5,633.30, 8,449.95 and 1,738.10 is: 2,607.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.30 : 8,449.95 = 1,738.10 : x
  2. Step 2: Convert to fraction form
    5,633.30/8,449.95 = 1,738.10/x
  3. Step 3: Cross multiply
    5,633.30x = 8,449.95 × 1,738.10
  4. Step 4: Simplify right side
    5,633.30x = 14,686,858.10
  5. Step 5: Solve for x
    x = 14,686,858.10/5,633.30
  6. Step 6: Final answer
    x = 2,607.15

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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.