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Finding the Fourth Proportional to 3,475.77, 4,804.07 and 3,074.60

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Solution

The fourth proportional to 3,475.77, 4,804.07 and 3,074.60 is: 4,249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.77 : 4,804.07 = 3,074.60 : x
  2. Step 2: Convert to fraction form
    3,475.77/4,804.07 = 3,074.60/x
  3. Step 3: Cross multiply
    3,475.77x = 4,804.07 × 3,074.60
  4. Step 4: Simplify right side
    3,475.77x = 14,770,554.23
  5. Step 5: Solve for x
    x = 14,770,554.23/3,475.77
  6. Step 6: Final answer
    x = 4,249.58

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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.