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Finding the Fourth Proportional to 5,021.73, 7,532.73 and 1,735.02

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Solution

The fourth proportional to 5,021.73, 7,532.73 and 1,735.02 is: 2,602.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,021.73 : 7,532.73 = 1,735.02 : x
  2. Step 2: Convert to fraction form
    5,021.73/7,532.73 = 1,735.02/x
  3. Step 3: Cross multiply
    5,021.73x = 7,532.73 × 1,735.02
  4. Step 4: Simplify right side
    5,021.73x = 13,069,437.20
  5. Step 5: Solve for x
    x = 13,069,437.20/5,021.73
  6. Step 6: Final answer
    x = 2,602.58

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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.