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Finding the Fourth Proportional to 4,233.50, 5,842.26 and 2,370.50

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Solution

The fourth proportional to 4,233.50, 5,842.26 and 2,370.50 is: 3,271.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,233.50 : 5,842.26 = 2,370.50 : x
  2. Step 2: Convert to fraction form
    4,233.50/5,842.26 = 2,370.50/x
  3. Step 3: Cross multiply
    4,233.50x = 5,842.26 × 2,370.50
  4. Step 4: Simplify right side
    4,233.50x = 13,849,077.33
  5. Step 5: Solve for x
    x = 13,849,077.33/4,233.50
  6. Step 6: Final answer
    x = 3,271.31

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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.