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Finding the Fourth Proportional to 5,047.18, 7,571.04 and 1,536.92

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Solution

The fourth proportional to 5,047.18, 7,571.04 and 1,536.92 is: 2,305.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.18 : 7,571.04 = 1,536.92 : x
  2. Step 2: Convert to fraction form
    5,047.18/7,571.04 = 1,536.92/x
  3. Step 3: Cross multiply
    5,047.18x = 7,571.04 × 1,536.92
  4. Step 4: Simplify right side
    5,047.18x = 11,636,037.26
  5. Step 5: Solve for x
    x = 11,636,037.26/5,047.18
  6. Step 6: Final answer
    x = 2,305.45

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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.