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Finding the Fourth Proportional to 4,704.04, 6,491.76 and 2,608.24

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Solution

The fourth proportional to 4,704.04, 6,491.76 and 2,608.24 is: 3,599.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.04 : 6,491.76 = 2,608.24 : x
  2. Step 2: Convert to fraction form
    4,704.04/6,491.76 = 2,608.24/x
  3. Step 3: Cross multiply
    4,704.04x = 6,491.76 × 2,608.24
  4. Step 4: Simplify right side
    4,704.04x = 16,932,068.10
  5. Step 5: Solve for x
    x = 16,932,068.10/4,704.04
  6. Step 6: Final answer
    x = 3,599.47

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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.