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Finding the Fourth Proportional to 3,502.58, 5,256.44 and 1,859.45

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Solution

The fourth proportional to 3,502.58, 5,256.44 and 1,859.45 is: 2,790.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.58 : 5,256.44 = 1,859.45 : x
  2. Step 2: Convert to fraction form
    3,502.58/5,256.44 = 1,859.45/x
  3. Step 3: Cross multiply
    3,502.58x = 5,256.44 × 1,859.45
  4. Step 4: Simplify right side
    3,502.58x = 9,774,078.06
  5. Step 5: Solve for x
    x = 9,774,078.06/3,502.58
  6. Step 6: Final answer
    x = 2,790.54

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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.