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Finding the Fourth Proportional to 4,004.64, 5,528.16 and 2,412

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Solution

The fourth proportional to 4,004.64, 5,528.16 and 2,412 is: 3,329.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,004.64 : 5,528.16 = 2,412 : x
  2. Step 2: Convert to fraction form
    4,004.64/5,528.16 = 2,412/x
  3. Step 3: Cross multiply
    4,004.64x = 5,528.16 × 2,412
  4. Step 4: Simplify right side
    4,004.64x = 13,333,921.92
  5. Step 5: Solve for x
    x = 13,333,921.92/4,004.64
  6. Step 6: Final answer
    x = 3,329.62

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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.