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Finding the Fourth Proportional to 3,495.64, 4,824.05 and 1,923.72

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Solution

The fourth proportional to 3,495.64, 4,824.05 and 1,923.72 is: 2,654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.64 : 4,824.05 = 1,923.72 : x
  2. Step 2: Convert to fraction form
    3,495.64/4,824.05 = 1,923.72/x
  3. Step 3: Cross multiply
    3,495.64x = 4,824.05 × 1,923.72
  4. Step 4: Simplify right side
    3,495.64x = 9,280,121.47
  5. Step 5: Solve for x
    x = 9,280,121.47/3,495.64
  6. Step 6: Final answer
    x = 2,654.77

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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.