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Finding the Fourth Proportional to 4,644.72, 6,969.15 and 2,307.06

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Solution

The fourth proportional to 4,644.72, 6,969.15 and 2,307.06 is: 3,461.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.72 : 6,969.15 = 2,307.06 : x
  2. Step 2: Convert to fraction form
    4,644.72/6,969.15 = 2,307.06/x
  3. Step 3: Cross multiply
    4,644.72x = 6,969.15 × 2,307.06
  4. Step 4: Simplify right side
    4,644.72x = 16,078,247.20
  5. Step 5: Solve for x
    x = 16,078,247.20/4,644.72
  6. Step 6: Final answer
    x = 3,461.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.