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Finding the Fourth Proportional to 5,243.47, 7,236.16 and 3,005.77

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Solution

The fourth proportional to 5,243.47, 7,236.16 and 3,005.77 is: 4,148.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.47 : 7,236.16 = 3,005.77 : x
  2. Step 2: Convert to fraction form
    5,243.47/7,236.16 = 3,005.77/x
  3. Step 3: Cross multiply
    5,243.47x = 7,236.16 × 3,005.77
  4. Step 4: Simplify right side
    5,243.47x = 21,750,207.04
  5. Step 5: Solve for x
    x = 21,750,207.04/5,243.47
  6. Step 6: Final answer
    x = 4,148.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.