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Finding the Fourth Proportional to 5,239.48, 7,860.14 and 1,728.52

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Solution

The fourth proportional to 5,239.48, 7,860.14 and 1,728.52 is: 2,593.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.48 : 7,860.14 = 1,728.52 : x
  2. Step 2: Convert to fraction form
    5,239.48/7,860.14 = 1,728.52/x
  3. Step 3: Cross multiply
    5,239.48x = 7,860.14 × 1,728.52
  4. Step 4: Simplify right side
    5,239.48x = 13,586,409.19
  5. Step 5: Solve for x
    x = 13,586,409.19/5,239.48
  6. Step 6: Final answer
    x = 2,593.08

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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.