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Finding the Fourth Proportional to 4,896.35, 6,753.47 and 3,458.40

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Solution

The fourth proportional to 4,896.35, 6,753.47 and 3,458.40 is: 4,770.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.35 : 6,753.47 = 3,458.40 : x
  2. Step 2: Convert to fraction form
    4,896.35/6,753.47 = 3,458.40/x
  3. Step 3: Cross multiply
    4,896.35x = 6,753.47 × 3,458.40
  4. Step 4: Simplify right side
    4,896.35x = 23,356,200.65
  5. Step 5: Solve for x
    x = 23,356,200.65/4,896.35
  6. Step 6: Final answer
    x = 4,770.12

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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.