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Finding the Fourth Proportional to 5,849.96, 8,062.50 and 4,430.25

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Solution

The fourth proportional to 5,849.96, 8,062.50 and 4,430.25 is: 6,105.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.96 : 8,062.50 = 4,430.25 : x
  2. Step 2: Convert to fraction form
    5,849.96/8,062.50 = 4,430.25/x
  3. Step 3: Cross multiply
    5,849.96x = 8,062.50 × 4,430.25
  4. Step 4: Simplify right side
    5,849.96x = 35,718,890.63
  5. Step 5: Solve for x
    x = 35,718,890.63/5,849.96
  6. Step 6: Final answer
    x = 6,105.84

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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.