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Finding the Fourth Proportional to 5,224.47, 7,837.73 and 4,701.63

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Solution

The fourth proportional to 5,224.47, 7,837.73 and 4,701.63 is: 7,053.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.47 : 7,837.73 = 4,701.63 : x
  2. Step 2: Convert to fraction form
    5,224.47/7,837.73 = 4,701.63/x
  3. Step 3: Cross multiply
    5,224.47x = 7,837.73 × 4,701.63
  4. Step 4: Simplify right side
    5,224.47x = 36,850,082.99
  5. Step 5: Solve for x
    x = 36,850,082.99/5,224.47
  6. Step 6: Final answer
    x = 7,053.36

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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.