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Finding the Fourth Proportional to 5,172.68, 7,759.32 and 1,277.12

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Solution

The fourth proportional to 5,172.68, 7,759.32 and 1,277.12 is: 1,915.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.68 : 7,759.32 = 1,277.12 : x
  2. Step 2: Convert to fraction form
    5,172.68/7,759.32 = 1,277.12/x
  3. Step 3: Cross multiply
    5,172.68x = 7,759.32 × 1,277.12
  4. Step 4: Simplify right side
    5,172.68x = 9,909,582.76
  5. Step 5: Solve for x
    x = 9,909,582.76/5,172.68
  6. Step 6: Final answer
    x = 1,915.75

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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.