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Finding the Fourth Proportional to 5,674.44, 8,503.80 and 4,837.14

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Solution

The fourth proportional to 5,674.44, 8,503.80 and 4,837.14 is: 7,249.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.44 : 8,503.80 = 4,837.14 : x
  2. Step 2: Convert to fraction form
    5,674.44/8,503.80 = 4,837.14/x
  3. Step 3: Cross multiply
    5,674.44x = 8,503.80 × 4,837.14
  4. Step 4: Simplify right side
    5,674.44x = 41,134,071.13
  5. Step 5: Solve for x
    x = 41,134,071.13/5,674.44
  6. Step 6: Final answer
    x = 7,249.01

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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.