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Finding the Fourth Proportional to 4,499.63, 6,747.33 and 1,537.28

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Solution

The fourth proportional to 4,499.63, 6,747.33 and 1,537.28 is: 2,305.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,499.63 : 6,747.33 = 1,537.28 : x
  2. Step 2: Convert to fraction form
    4,499.63/6,747.33 = 1,537.28/x
  3. Step 3: Cross multiply
    4,499.63x = 6,747.33 × 1,537.28
  4. Step 4: Simplify right side
    4,499.63x = 10,372,570.75
  5. Step 5: Solve for x
    x = 10,372,570.75/4,499.63
  6. Step 6: Final answer
    x = 2,305.20

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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.