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Finding the Fourth Proportional to 3,056.57, 4,214.93 and 2,719.41

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Solution

The fourth proportional to 3,056.57, 4,214.93 and 2,719.41 is: 3,750.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.57 : 4,214.93 = 2,719.41 : x
  2. Step 2: Convert to fraction form
    3,056.57/4,214.93 = 2,719.41/x
  3. Step 3: Cross multiply
    3,056.57x = 4,214.93 × 2,719.41
  4. Step 4: Simplify right side
    3,056.57x = 11,462,122.79
  5. Step 5: Solve for x
    x = 11,462,122.79/3,056.57
  6. Step 6: Final answer
    x = 3,750.00

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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.