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Finding the Fourth Proportional to 6,354.05, 8,768.64 and 3,702.32

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Solution

The fourth proportional to 6,354.05, 8,768.64 and 3,702.32 is: 5,109.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.05 : 8,768.64 = 3,702.32 : x
  2. Step 2: Convert to fraction form
    6,354.05/8,768.64 = 3,702.32/x
  3. Step 3: Cross multiply
    6,354.05x = 8,768.64 × 3,702.32
  4. Step 4: Simplify right side
    6,354.05x = 32,464,267.40
  5. Step 5: Solve for x
    x = 32,464,267.40/6,354.05
  6. Step 6: Final answer
    x = 5,109.23

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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.