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Finding the Fourth Proportional to 3,485.56, 5,228.25 and 853.06

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Solution

The fourth proportional to 3,485.56, 5,228.25 and 853.06 is: 1,279.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.56 : 5,228.25 = 853.06 : x
  2. Step 2: Convert to fraction form
    3,485.56/5,228.25 = 853.06/x
  3. Step 3: Cross multiply
    3,485.56x = 5,228.25 × 853.06
  4. Step 4: Simplify right side
    3,485.56x = 4,460,010.95
  5. Step 5: Solve for x
    x = 4,460,010.95/3,485.56
  6. Step 6: Final answer
    x = 1,279.57

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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.