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Finding the Fourth Proportional to 4,740.68, 7,108.08 and 1,969.26

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Solution

The fourth proportional to 4,740.68, 7,108.08 and 1,969.26 is: 2,952.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,740.68 : 7,108.08 = 1,969.26 : x
  2. Step 2: Convert to fraction form
    4,740.68/7,108.08 = 1,969.26/x
  3. Step 3: Cross multiply
    4,740.68x = 7,108.08 × 1,969.26
  4. Step 4: Simplify right side
    4,740.68x = 13,997,657.62
  5. Step 5: Solve for x
    x = 13,997,657.62/4,740.68
  6. Step 6: Final answer
    x = 2,952.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.