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Finding the Fourth Proportional to 4,148.04, 5,722.74 and 2,576.64

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Solution

The fourth proportional to 4,148.04, 5,722.74 and 2,576.64 is: 3,554.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148.04 : 5,722.74 = 2,576.64 : x
  2. Step 2: Convert to fraction form
    4,148.04/5,722.74 = 2,576.64/x
  3. Step 3: Cross multiply
    4,148.04x = 5,722.74 × 2,576.64
  4. Step 4: Simplify right side
    4,148.04x = 14,745,440.79
  5. Step 5: Solve for x
    x = 14,745,440.79/4,148.04
  6. Step 6: Final answer
    x = 3,554.80

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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.