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Finding the Fourth Proportional to 5,748.17, 8,622.96 and 1,588.41

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Solution

The fourth proportional to 5,748.17, 8,622.96 and 1,588.41 is: 2,382.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.17 : 8,622.96 = 1,588.41 : x
  2. Step 2: Convert to fraction form
    5,748.17/8,622.96 = 1,588.41/x
  3. Step 3: Cross multiply
    5,748.17x = 8,622.96 × 1,588.41
  4. Step 4: Simplify right side
    5,748.17x = 13,696,789.94
  5. Step 5: Solve for x
    x = 13,696,789.94/5,748.17
  6. Step 6: Final answer
    x = 2,382.81

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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.