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Finding the Fourth Proportional to 3,853.68, 5,312.52 and 2,968.08

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Solution

The fourth proportional to 3,853.68, 5,312.52 and 2,968.08 is: 4,091.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.68 : 5,312.52 = 2,968.08 : x
  2. Step 2: Convert to fraction form
    3,853.68/5,312.52 = 2,968.08/x
  3. Step 3: Cross multiply
    3,853.68x = 5,312.52 × 2,968.08
  4. Step 4: Simplify right side
    3,853.68x = 15,767,984.36
  5. Step 5: Solve for x
    x = 15,767,984.36/3,853.68
  6. Step 6: Final answer
    x = 4,091.67

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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.