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Finding the Fourth Proportional to 5,748.68, 8,621.99 and 1,588.01

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Solution

The fourth proportional to 5,748.68, 8,621.99 and 1,588.01 is: 2,381.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.68 : 8,621.99 = 1,588.01 : x
  2. Step 2: Convert to fraction form
    5,748.68/8,621.99 = 1,588.01/x
  3. Step 3: Cross multiply
    5,748.68x = 8,621.99 × 1,588.01
  4. Step 4: Simplify right side
    5,748.68x = 13,691,755.29
  5. Step 5: Solve for x
    x = 13,691,755.29/5,748.68
  6. Step 6: Final answer
    x = 2,381.72

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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.