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Finding the Fourth Proportional to 5,024.72, 7,526.16 and 3,071

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Solution

The fourth proportional to 5,024.72, 7,526.16 and 3,071 is: 4,599.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024.72 : 7,526.16 = 3,071 : x
  2. Step 2: Convert to fraction form
    5,024.72/7,526.16 = 3,071/x
  3. Step 3: Cross multiply
    5,024.72x = 7,526.16 × 3,071
  4. Step 4: Simplify right side
    5,024.72x = 23,112,837.36
  5. Step 5: Solve for x
    x = 23,112,837.36/5,024.72
  6. Step 6: Final answer
    x = 4,599.83

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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.