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Finding the Fourth Proportional to 4,004.53, 5,999.28 and 1,537.68

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Solution

The fourth proportional to 4,004.53, 5,999.28 and 1,537.68 is: 2,303.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,004.53 : 5,999.28 = 1,537.68 : x
  2. Step 2: Convert to fraction form
    4,004.53/5,999.28 = 1,537.68/x
  3. Step 3: Cross multiply
    4,004.53x = 5,999.28 × 1,537.68
  4. Step 4: Simplify right side
    4,004.53x = 9,224,972.87
  5. Step 5: Solve for x
    x = 9,224,972.87/4,004.53
  6. Step 6: Final answer
    x = 2,303.63

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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.