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Finding the Fourth Proportional to 4,191, 5,783.58 and 2,328

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Solution

The fourth proportional to 4,191, 5,783.58 and 2,328 is: 3,212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191 : 5,783.58 = 2,328 : x
  2. Step 2: Convert to fraction form
    4,191/5,783.58 = 2,328/x
  3. Step 3: Cross multiply
    4,191x = 5,783.58 × 2,328
  4. Step 4: Simplify right side
    4,191x = 13,464,174.24
  5. Step 5: Solve for x
    x = 13,464,174.24/4,191
  6. Step 6: Final answer
    x = 3,212.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.