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Finding the Fourth Proportional to 5,802.18, 8,702.84 and 2,103.72

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Solution

The fourth proportional to 5,802.18, 8,702.84 and 2,103.72 is: 3,155.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.18 : 8,702.84 = 2,103.72 : x
  2. Step 2: Convert to fraction form
    5,802.18/8,702.84 = 2,103.72/x
  3. Step 3: Cross multiply
    5,802.18x = 8,702.84 × 2,103.72
  4. Step 4: Simplify right side
    5,802.18x = 18,308,338.56
  5. Step 5: Solve for x
    x = 18,308,338.56/5,802.18
  6. Step 6: Final answer
    x = 3,155.42

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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.