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Finding the Fourth Proportional to 4,862.46, 6,709.05 and 3,606.42

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Solution

The fourth proportional to 4,862.46, 6,709.05 and 3,606.42 is: 4,976.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.46 : 6,709.05 = 3,606.42 : x
  2. Step 2: Convert to fraction form
    4,862.46/6,709.05 = 3,606.42/x
  3. Step 3: Cross multiply
    4,862.46x = 6,709.05 × 3,606.42
  4. Step 4: Simplify right side
    4,862.46x = 24,195,652.10
  5. Step 5: Solve for x
    x = 24,195,652.10/4,862.46
  6. Step 6: Final answer
    x = 4,976.01

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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.