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Finding the Fourth Proportional to 3,356.79, 5,036.84 and 1,509.21

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Solution

The fourth proportional to 3,356.79, 5,036.84 and 1,509.21 is: 2,264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356.79 : 5,036.84 = 1,509.21 : x
  2. Step 2: Convert to fraction form
    3,356.79/5,036.84 = 1,509.21/x
  3. Step 3: Cross multiply
    3,356.79x = 5,036.84 × 1,509.21
  4. Step 4: Simplify right side
    3,356.79x = 7,601,641.75
  5. Step 5: Solve for x
    x = 7,601,641.75/3,356.79
  6. Step 6: Final answer
    x = 2,264.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.