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Finding the Fourth Proportional to 5,404.65, 7,458.42 and 3,046.78

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Solution

The fourth proportional to 5,404.65, 7,458.42 and 3,046.78 is: 4,204.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404.65 : 7,458.42 = 3,046.78 : x
  2. Step 2: Convert to fraction form
    5,404.65/7,458.42 = 3,046.78/x
  3. Step 3: Cross multiply
    5,404.65x = 7,458.42 × 3,046.78
  4. Step 4: Simplify right side
    5,404.65x = 22,724,164.89
  5. Step 5: Solve for x
    x = 22,724,164.89/5,404.65
  6. Step 6: Final answer
    x = 4,204.56

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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.