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Finding the Fourth Proportional to 6,461.44, 8,916.48 and 3,666.88

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Solution

The fourth proportional to 6,461.44, 8,916.48 and 3,666.88 is: 5,060.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.44 : 8,916.48 = 3,666.88 : x
  2. Step 2: Convert to fraction form
    6,461.44/8,916.48 = 3,666.88/x
  3. Step 3: Cross multiply
    6,461.44x = 8,916.48 × 3,666.88
  4. Step 4: Simplify right side
    6,461.44x = 32,695,662.18
  5. Step 5: Solve for x
    x = 32,695,662.18/6,461.44
  6. Step 6: Final answer
    x = 5,060.12

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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.