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Finding the Fourth Proportional to 6,451.16, 8,902.60 and 3,656.64

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Solution

The fourth proportional to 6,451.16, 8,902.60 and 3,656.64 is: 5,046.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.16 : 8,902.60 = 3,656.64 : x
  2. Step 2: Convert to fraction form
    6,451.16/8,902.60 = 3,656.64/x
  3. Step 3: Cross multiply
    6,451.16x = 8,902.60 × 3,656.64
  4. Step 4: Simplify right side
    6,451.16x = 32,553,603.26
  5. Step 5: Solve for x
    x = 32,553,603.26/6,451.16
  6. Step 6: Final answer
    x = 5,046.16

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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.