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Finding the Fourth Proportional to 5,702.08, 8,536.56 and 3,322.90

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Solution

The fourth proportional to 5,702.08, 8,536.56 and 3,322.90 is: 4,974.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.08 : 8,536.56 = 3,322.90 : x
  2. Step 2: Convert to fraction form
    5,702.08/8,536.56 = 3,322.90/x
  3. Step 3: Cross multiply
    5,702.08x = 8,536.56 × 3,322.90
  4. Step 4: Simplify right side
    5,702.08x = 28,366,135.22
  5. Step 5: Solve for x
    x = 28,366,135.22/5,702.08
  6. Step 6: Final answer
    x = 4,974.70

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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.