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Finding the Fourth Proportional to 4,651.30, 6,416.04 and 2,881.63

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Solution

The fourth proportional to 4,651.30, 6,416.04 and 2,881.63 is: 3,974.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.30 : 6,416.04 = 2,881.63 : x
  2. Step 2: Convert to fraction form
    4,651.30/6,416.04 = 2,881.63/x
  3. Step 3: Cross multiply
    4,651.30x = 6,416.04 × 2,881.63
  4. Step 4: Simplify right side
    4,651.30x = 18,488,653.35
  5. Step 5: Solve for x
    x = 18,488,653.35/4,651.30
  6. Step 6: Final answer
    x = 3,974.94

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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.