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Finding the Fourth Proportional to 3,172.61, 4,759.61 and 951.35

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Solution

The fourth proportional to 3,172.61, 4,759.61 and 951.35 is: 1,427.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.61 : 4,759.61 = 951.35 : x
  2. Step 2: Convert to fraction form
    3,172.61/4,759.61 = 951.35/x
  3. Step 3: Cross multiply
    3,172.61x = 4,759.61 × 951.35
  4. Step 4: Simplify right side
    3,172.61x = 4,528,069.25
  5. Step 5: Solve for x
    x = 4,528,069.25/3,172.61
  6. Step 6: Final answer
    x = 1,427.24

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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.