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Finding the Fourth Proportional to 5,224.01, 7,837.25 and 1,526.58

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Solution

The fourth proportional to 5,224.01, 7,837.25 and 1,526.58 is: 2,290.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.01 : 7,837.25 = 1,526.58 : x
  2. Step 2: Convert to fraction form
    5,224.01/7,837.25 = 1,526.58/x
  3. Step 3: Cross multiply
    5,224.01x = 7,837.25 × 1,526.58
  4. Step 4: Simplify right side
    5,224.01x = 11,964,181.47
  5. Step 5: Solve for x
    x = 11,964,181.47/5,224.01
  6. Step 6: Final answer
    x = 2,290.23

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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.