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Finding the Fourth Proportional to 4,824.39, 7,237.46 and 1,706.22

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Solution

The fourth proportional to 4,824.39, 7,237.46 and 1,706.22 is: 2,559.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.39 : 7,237.46 = 1,706.22 : x
  2. Step 2: Convert to fraction form
    4,824.39/7,237.46 = 1,706.22/x
  3. Step 3: Cross multiply
    4,824.39x = 7,237.46 × 1,706.22
  4. Step 4: Simplify right side
    4,824.39x = 12,348,690.47
  5. Step 5: Solve for x
    x = 12,348,690.47/4,824.39
  6. Step 6: Final answer
    x = 2,559.64

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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.