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Finding the Fourth Proportional to 4,643.81, 6,408.86 and 2,548.34

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Solution

The fourth proportional to 4,643.81, 6,408.86 and 2,548.34 is: 3,516.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.81 : 6,408.86 = 2,548.34 : x
  2. Step 2: Convert to fraction form
    4,643.81/6,408.86 = 2,548.34/x
  3. Step 3: Cross multiply
    4,643.81x = 6,408.86 × 2,548.34
  4. Step 4: Simplify right side
    4,643.81x = 16,331,954.29
  5. Step 5: Solve for x
    x = 16,331,954.29/4,643.81
  6. Step 6: Final answer
    x = 3,516.93

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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.