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Finding the Fourth Proportional to 5,333.44, 7,357.19 and 3,742.47

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Solution

The fourth proportional to 5,333.44, 7,357.19 and 3,742.47 is: 5,162.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,333.44 : 7,357.19 = 3,742.47 : x
  2. Step 2: Convert to fraction form
    5,333.44/7,357.19 = 3,742.47/x
  3. Step 3: Cross multiply
    5,333.44x = 7,357.19 × 3,742.47
  4. Step 4: Simplify right side
    5,333.44x = 27,534,085.77
  5. Step 5: Solve for x
    x = 27,534,085.77/5,333.44
  6. Step 6: Final answer
    x = 5,162.54

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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.