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Finding the Fourth Proportional to 3,502.82, 5,246.12 and 1,858.52

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Solution

The fourth proportional to 3,502.82, 5,246.12 and 1,858.52 is: 2,783.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.82 : 5,246.12 = 1,858.52 : x
  2. Step 2: Convert to fraction form
    3,502.82/5,246.12 = 1,858.52/x
  3. Step 3: Cross multiply
    3,502.82x = 5,246.12 × 1,858.52
  4. Step 4: Simplify right side
    3,502.82x = 9,750,018.94
  5. Step 5: Solve for x
    x = 9,750,018.94/3,502.82
  6. Step 6: Final answer
    x = 2,783.48

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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.