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Finding the Fourth Proportional to 4,905.54, 7,358.25 and 2,306.64

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Solution

The fourth proportional to 4,905.54, 7,358.25 and 2,306.64 is: 3,459.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905.54 : 7,358.25 = 2,306.64 : x
  2. Step 2: Convert to fraction form
    4,905.54/7,358.25 = 2,306.64/x
  3. Step 3: Cross multiply
    4,905.54x = 7,358.25 × 2,306.64
  4. Step 4: Simplify right side
    4,905.54x = 16,972,833.78
  5. Step 5: Solve for x
    x = 16,972,833.78/4,905.54
  6. Step 6: Final answer
    x = 3,459.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.