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Finding the Fourth Proportional to 4,636.62, 6,404.67 and 3,455.64

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Solution

The fourth proportional to 4,636.62, 6,404.67 and 3,455.64 is: 4,773.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.62 : 6,404.67 = 3,455.64 : x
  2. Step 2: Convert to fraction form
    4,636.62/6,404.67 = 3,455.64/x
  3. Step 3: Cross multiply
    4,636.62x = 6,404.67 × 3,455.64
  4. Step 4: Simplify right side
    4,636.62x = 22,132,233.84
  5. Step 5: Solve for x
    x = 22,132,233.84/4,636.62
  6. Step 6: Final answer
    x = 4,773.36

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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.