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Finding the Fourth Proportional to 3,899.44, 5,849.16 and 1,302.40

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Solution

The fourth proportional to 3,899.44, 5,849.16 and 1,302.40 is: 1,953.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.44 : 5,849.16 = 1,302.40 : x
  2. Step 2: Convert to fraction form
    3,899.44/5,849.16 = 1,302.40/x
  3. Step 3: Cross multiply
    3,899.44x = 5,849.16 × 1,302.40
  4. Step 4: Simplify right side
    3,899.44x = 7,617,945.98
  5. Step 5: Solve for x
    x = 7,617,945.98/3,899.44
  6. Step 6: Final answer
    x = 1,953.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.