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Finding the Fourth Proportional to 4,225.60, 6,343.80 and 2,252.80

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Solution

The fourth proportional to 4,225.60, 6,343.80 and 2,252.80 is: 3,382.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,225.60 : 6,343.80 = 2,252.80 : x
  2. Step 2: Convert to fraction form
    4,225.60/6,343.80 = 2,252.80/x
  3. Step 3: Cross multiply
    4,225.60x = 6,343.80 × 2,252.80
  4. Step 4: Simplify right side
    4,225.60x = 14,291,312.64
  5. Step 5: Solve for x
    x = 14,291,312.64/4,225.60
  6. Step 6: Final answer
    x = 3,382.08

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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.