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Finding the Fourth Proportional to 5,853.34, 8,078.57 and 3,496.87

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Solution

The fourth proportional to 5,853.34, 8,078.57 and 3,496.87 is: 4,826.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.34 : 8,078.57 = 3,496.87 : x
  2. Step 2: Convert to fraction form
    5,853.34/8,078.57 = 3,496.87/x
  3. Step 3: Cross multiply
    5,853.34x = 8,078.57 × 3,496.87
  4. Step 4: Simplify right side
    5,853.34x = 28,249,709.08
  5. Step 5: Solve for x
    x = 28,249,709.08/5,853.34
  6. Step 6: Final answer
    x = 4,826.25

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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.