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Finding the Fourth Proportional to 5,005.06, 7,507.89 and 1,447.27

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Solution

The fourth proportional to 5,005.06, 7,507.89 and 1,447.27 is: 2,170.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.06 : 7,507.89 = 1,447.27 : x
  2. Step 2: Convert to fraction form
    5,005.06/7,507.89 = 1,447.27/x
  3. Step 3: Cross multiply
    5,005.06x = 7,507.89 × 1,447.27
  4. Step 4: Simplify right side
    5,005.06x = 10,865,925.19
  5. Step 5: Solve for x
    x = 10,865,925.19/5,005.06
  6. Step 6: Final answer
    x = 2,170.99

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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.