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Finding the Fourth Proportional to 4,927.44, 7,347.78 and 4,883.02

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Solution

The fourth proportional to 4,927.44, 7,347.78 and 4,883.02 is: 7,281.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.44 : 7,347.78 = 4,883.02 : x
  2. Step 2: Convert to fraction form
    4,927.44/7,347.78 = 4,883.02/x
  3. Step 3: Cross multiply
    4,927.44x = 7,347.78 × 4,883.02
  4. Step 4: Simplify right side
    4,927.44x = 35,879,356.70
  5. Step 5: Solve for x
    x = 35,879,356.70/4,927.44
  6. Step 6: Final answer
    x = 7,281.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.