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Finding the Fourth Proportional to 3,495.76, 4,824.14 and 1,923.80

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Solution

The fourth proportional to 3,495.76, 4,824.14 and 1,923.80 is: 2,654.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.76 : 4,824.14 = 1,923.80 : x
  2. Step 2: Convert to fraction form
    3,495.76/4,824.14 = 1,923.80/x
  3. Step 3: Cross multiply
    3,495.76x = 4,824.14 × 1,923.80
  4. Step 4: Simplify right side
    3,495.76x = 9,280,680.53
  5. Step 5: Solve for x
    x = 9,280,680.53/3,495.76
  6. Step 6: Final answer
    x = 2,654.84

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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.