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Finding the Fourth Proportional to 5,794.20, 8,702.93 and 3,458.76

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Solution

The fourth proportional to 5,794.20, 8,702.93 and 3,458.76 is: 5,195.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.20 : 8,702.93 = 3,458.76 : x
  2. Step 2: Convert to fraction form
    5,794.20/8,702.93 = 3,458.76/x
  3. Step 3: Cross multiply
    5,794.20x = 8,702.93 × 3,458.76
  4. Step 4: Simplify right side
    5,794.20x = 30,101,328.87
  5. Step 5: Solve for x
    x = 30,101,328.87/5,794.20
  6. Step 6: Final answer
    x = 5,195.08

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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.