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Finding the Fourth Proportional to 4,349.07, 6,511.46 and 2,264.54

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Solution

The fourth proportional to 4,349.07, 6,511.46 and 2,264.54 is: 3,390.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,349.07 : 6,511.46 = 2,264.54 : x
  2. Step 2: Convert to fraction form
    4,349.07/6,511.46 = 2,264.54/x
  3. Step 3: Cross multiply
    4,349.07x = 6,511.46 × 2,264.54
  4. Step 4: Simplify right side
    4,349.07x = 14,745,417.75
  5. Step 5: Solve for x
    x = 14,745,417.75/4,349.07
  6. Step 6: Final answer
    x = 3,390.48

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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.