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Finding the Fourth Proportional to 5,047.13, 7,571.13 and 1,537.06

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Solution

The fourth proportional to 5,047.13, 7,571.13 and 1,537.06 is: 2,305.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.13 : 7,571.13 = 1,537.06 : x
  2. Step 2: Convert to fraction form
    5,047.13/7,571.13 = 1,537.06/x
  3. Step 3: Cross multiply
    5,047.13x = 7,571.13 × 1,537.06
  4. Step 4: Simplify right side
    5,047.13x = 11,637,295.32
  5. Step 5: Solve for x
    x = 11,637,295.32/5,047.13
  6. Step 6: Final answer
    x = 2,305.72

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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.