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Finding the Fourth Proportional to 4,576.86, 6,315.75 and 2,713.50

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Solution

The fourth proportional to 4,576.86, 6,315.75 and 2,713.50 is: 3,744.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.86 : 6,315.75 = 2,713.50 : x
  2. Step 2: Convert to fraction form
    4,576.86/6,315.75 = 2,713.50/x
  3. Step 3: Cross multiply
    4,576.86x = 6,315.75 × 2,713.50
  4. Step 4: Simplify right side
    4,576.86x = 17,137,787.63
  5. Step 5: Solve for x
    x = 17,137,787.63/4,576.86
  6. Step 6: Final answer
    x = 3,744.44

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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.