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Finding the Fourth Proportional to 4,682.96, 6,461.64 and 3,026

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Solution

The fourth proportional to 4,682.96, 6,461.64 and 3,026 is: 4,175.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.96 : 6,461.64 = 3,026 : x
  2. Step 2: Convert to fraction form
    4,682.96/6,461.64 = 3,026/x
  3. Step 3: Cross multiply
    4,682.96x = 6,461.64 × 3,026
  4. Step 4: Simplify right side
    4,682.96x = 19,552,922.64
  5. Step 5: Solve for x
    x = 19,552,922.64/4,682.96
  6. Step 6: Final answer
    x = 4,175.33

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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.