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Finding the Fourth Proportional to 3,083.56, 4,283.84 and 3,054.74

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Solution

The fourth proportional to 3,083.56, 4,283.84 and 3,054.74 is: 4,243.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.56 : 4,283.84 = 3,054.74 : x
  2. Step 2: Convert to fraction form
    3,083.56/4,283.84 = 3,054.74/x
  3. Step 3: Cross multiply
    3,083.56x = 4,283.84 × 3,054.74
  4. Step 4: Simplify right side
    3,083.56x = 13,085,980.71
  5. Step 5: Solve for x
    x = 13,085,980.71/3,083.56
  6. Step 6: Final answer
    x = 4,243.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.