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Finding the Fourth Proportional to 3,356.35, 5,032.71 and 2,574.42

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Solution

The fourth proportional to 3,356.35, 5,032.71 and 2,574.42 is: 3,860.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356.35 : 5,032.71 = 2,574.42 : x
  2. Step 2: Convert to fraction form
    3,356.35/5,032.71 = 2,574.42/x
  3. Step 3: Cross multiply
    3,356.35x = 5,032.71 × 2,574.42
  4. Step 4: Simplify right side
    3,356.35x = 12,956,309.28
  5. Step 5: Solve for x
    x = 12,956,309.28/3,356.35
  6. Step 6: Final answer
    x = 3,860.24

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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.