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Finding the Fourth Proportional to 4,772.56, 7,159.30 and 1,771.40

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Solution

The fourth proportional to 4,772.56, 7,159.30 and 1,771.40 is: 2,657.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.56 : 7,159.30 = 1,771.40 : x
  2. Step 2: Convert to fraction form
    4,772.56/7,159.30 = 1,771.40/x
  3. Step 3: Cross multiply
    4,772.56x = 7,159.30 × 1,771.40
  4. Step 4: Simplify right side
    4,772.56x = 12,681,984.02
  5. Step 5: Solve for x
    x = 12,681,984.02/4,772.56
  6. Step 6: Final answer
    x = 2,657.27

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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.