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Finding the Fourth Proportional to 5,629.32, 8,443.98 and 1,733.63

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Solution

The fourth proportional to 5,629.32, 8,443.98 and 1,733.63 is: 2,600.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.32 : 8,443.98 = 1,733.63 : x
  2. Step 2: Convert to fraction form
    5,629.32/8,443.98 = 1,733.63/x
  3. Step 3: Cross multiply
    5,629.32x = 8,443.98 × 1,733.63
  4. Step 4: Simplify right side
    5,629.32x = 14,638,694.83
  5. Step 5: Solve for x
    x = 14,638,694.83/5,629.32
  6. Step 6: Final answer
    x = 2,600.44

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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.