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Finding the Fourth Proportional to 4,644.70, 6,969.16 and 2,307.04

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Solution

The fourth proportional to 4,644.70, 6,969.16 and 2,307.04 is: 3,461.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.70 : 6,969.16 = 2,307.04 : x
  2. Step 2: Convert to fraction form
    4,644.70/6,969.16 = 2,307.04/x
  3. Step 3: Cross multiply
    4,644.70x = 6,969.16 × 2,307.04
  4. Step 4: Simplify right side
    4,644.70x = 16,078,130.89
  5. Step 5: Solve for x
    x = 16,078,130.89/4,644.70
  6. Step 6: Final answer
    x = 3,461.61

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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.