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Finding the Fourth Proportional to 4,561.57, 6,845.06 and 1,928.94

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Solution

The fourth proportional to 4,561.57, 6,845.06 and 1,928.94 is: 2,894.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.57 : 6,845.06 = 1,928.94 : x
  2. Step 2: Convert to fraction form
    4,561.57/6,845.06 = 1,928.94/x
  3. Step 3: Cross multiply
    4,561.57x = 6,845.06 × 1,928.94
  4. Step 4: Simplify right side
    4,561.57x = 13,203,675.81
  5. Step 5: Solve for x
    x = 13,203,675.81/4,561.57
  6. Step 6: Final answer
    x = 2,894.55

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1.5x scale

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.