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Finding the Fourth Proportional to 6,272.52, 8,656.08 and 3,478.02

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Solution

The fourth proportional to 6,272.52, 8,656.08 and 3,478.02 is: 4,799.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.52 : 8,656.08 = 3,478.02 : x
  2. Step 2: Convert to fraction form
    6,272.52/8,656.08 = 3,478.02/x
  3. Step 3: Cross multiply
    6,272.52x = 8,656.08 × 3,478.02
  4. Step 4: Simplify right side
    6,272.52x = 30,106,019.36
  5. Step 5: Solve for x
    x = 30,106,019.36/6,272.52
  6. Step 6: Final answer
    x = 4,799.67

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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.