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Finding the Fourth Proportional to 6,461.74, 8,916.54 and 3,629.43

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Solution

The fourth proportional to 6,461.74, 8,916.54 and 3,629.43 is: 5,008.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.74 : 8,916.54 = 3,629.43 : x
  2. Step 2: Convert to fraction form
    6,461.74/8,916.54 = 3,629.43/x
  3. Step 3: Cross multiply
    6,461.74x = 8,916.54 × 3,629.43
  4. Step 4: Simplify right side
    6,461.74x = 32,361,904.12
  5. Step 5: Solve for x
    x = 32,361,904.12/6,461.74
  6. Step 6: Final answer
    x = 5,008.23

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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.