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Finding the Fourth Proportional to 3,379.40, 5,068.64 and 914.44

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Solution

The fourth proportional to 3,379.40, 5,068.64 and 914.44 is: 1,371.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,379.40 : 5,068.64 = 914.44 : x
  2. Step 2: Convert to fraction form
    3,379.40/5,068.64 = 914.44/x
  3. Step 3: Cross multiply
    3,379.40x = 5,068.64 × 914.44
  4. Step 4: Simplify right side
    3,379.40x = 4,634,967.16
  5. Step 5: Solve for x
    x = 4,634,967.16/3,379.40
  6. Step 6: Final answer
    x = 1,371.54

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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.