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Finding the Fourth Proportional to 3,172.41, 4,759.74 and 1,417.25

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Solution

The fourth proportional to 3,172.41, 4,759.74 and 1,417.25 is: 2,126.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.41 : 4,759.74 = 1,417.25 : x
  2. Step 2: Convert to fraction form
    3,172.41/4,759.74 = 1,417.25/x
  3. Step 3: Cross multiply
    3,172.41x = 4,759.74 × 1,417.25
  4. Step 4: Simplify right side
    3,172.41x = 6,745,741.52
  5. Step 5: Solve for x
    x = 6,745,741.52/3,172.41
  6. Step 6: Final answer
    x = 2,126.38

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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.