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Finding the Fourth Proportional to 5,054.58, 6,978.76 and 3,166.94

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Solution

The fourth proportional to 5,054.58, 6,978.76 and 3,166.94 is: 4,372.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.58 : 6,978.76 = 3,166.94 : x
  2. Step 2: Convert to fraction form
    5,054.58/6,978.76 = 3,166.94/x
  3. Step 3: Cross multiply
    5,054.58x = 6,978.76 × 3,166.94
  4. Step 4: Simplify right side
    5,054.58x = 22,101,323.72
  5. Step 5: Solve for x
    x = 22,101,323.72/5,054.58
  6. Step 6: Final answer
    x = 4,372.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.