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Finding the Fourth Proportional to 3,902.09, 5,853.24 and 980.45

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Solution

The fourth proportional to 3,902.09, 5,853.24 and 980.45 is: 1,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.09 : 5,853.24 = 980.45 : x
  2. Step 2: Convert to fraction form
    3,902.09/5,853.24 = 980.45/x
  3. Step 3: Cross multiply
    3,902.09x = 5,853.24 × 980.45
  4. Step 4: Simplify right side
    3,902.09x = 5,738,779.89
  5. Step 5: Solve for x
    x = 5,738,779.89/3,902.09
  6. Step 6: Final answer
    x = 1,470.70

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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.