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Finding the Fourth Proportional to 4,172.56, 5,758.22 and 2,284.18

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Solution

The fourth proportional to 4,172.56, 5,758.22 and 2,284.18 is: 3,152.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.56 : 5,758.22 = 2,284.18 : x
  2. Step 2: Convert to fraction form
    4,172.56/5,758.22 = 2,284.18/x
  3. Step 3: Cross multiply
    4,172.56x = 5,758.22 × 2,284.18
  4. Step 4: Simplify right side
    4,172.56x = 13,152,810.96
  5. Step 5: Solve for x
    x = 13,152,810.96/4,172.56
  6. Step 6: Final answer
    x = 3,152.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.