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Finding the Fourth Proportional to 4,917.74, 7,376.87 and 1,455.26

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Solution

The fourth proportional to 4,917.74, 7,376.87 and 1,455.26 is: 2,182.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,917.74 : 7,376.87 = 1,455.26 : x
  2. Step 2: Convert to fraction form
    4,917.74/7,376.87 = 1,455.26/x
  3. Step 3: Cross multiply
    4,917.74x = 7,376.87 × 1,455.26
  4. Step 4: Simplify right side
    4,917.74x = 10,735,230.59
  5. Step 5: Solve for x
    x = 10,735,230.59/4,917.74
  6. Step 6: Final answer
    x = 2,182.96

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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.