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Finding the Fourth Proportional to 4,728.09, 7,092.14 and 1,265.25

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Solution

The fourth proportional to 4,728.09, 7,092.14 and 1,265.25 is: 1,897.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.09 : 7,092.14 = 1,265.25 : x
  2. Step 2: Convert to fraction form
    4,728.09/7,092.14 = 1,265.25/x
  3. Step 3: Cross multiply
    4,728.09x = 7,092.14 × 1,265.25
  4. Step 4: Simplify right side
    4,728.09x = 8,973,323.81
  5. Step 5: Solve for x
    x = 8,973,323.81/4,728.09
  6. Step 6: Final answer
    x = 1,897.88

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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.