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Finding the Fourth Proportional to 3,585.84, 4,944.24 and 2,921.28

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Solution

The fourth proportional to 3,585.84, 4,944.24 and 2,921.28 is: 4,027.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.84 : 4,944.24 = 2,921.28 : x
  2. Step 2: Convert to fraction form
    3,585.84/4,944.24 = 2,921.28/x
  3. Step 3: Cross multiply
    3,585.84x = 4,944.24 × 2,921.28
  4. Step 4: Simplify right side
    3,585.84x = 14,443,509.43
  5. Step 5: Solve for x
    x = 14,443,509.43/3,585.84
  6. Step 6: Final answer
    x = 4,027.93

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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.