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Finding the Fourth Proportional to 3,578.64, 4,938.48 and 2,007

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Solution

The fourth proportional to 3,578.64, 4,938.48 and 2,007 is: 2,769.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.64 : 4,938.48 = 2,007 : x
  2. Step 2: Convert to fraction form
    3,578.64/4,938.48 = 2,007/x
  3. Step 3: Cross multiply
    3,578.64x = 4,938.48 × 2,007
  4. Step 4: Simplify right side
    3,578.64x = 9,911,529.36
  5. Step 5: Solve for x
    x = 9,911,529.36/3,578.64
  6. Step 6: Final answer
    x = 2,769.64

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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.