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Finding the Fourth Proportional to 3,056.66, 4,213.41 and 2,558.42

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Solution

The fourth proportional to 3,056.66, 4,213.41 and 2,558.42 is: 3,526.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.66 : 4,213.41 = 2,558.42 : x
  2. Step 2: Convert to fraction form
    3,056.66/4,213.41 = 2,558.42/x
  3. Step 3: Cross multiply
    3,056.66x = 4,213.41 × 2,558.42
  4. Step 4: Simplify right side
    3,056.66x = 10,779,672.41
  5. Step 5: Solve for x
    x = 10,779,672.41/3,056.66
  6. Step 6: Final answer
    x = 3,526.62

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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.