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Finding the Fourth Proportional to 6,656.40, 9,991.80 and 3,740.40

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Solution

The fourth proportional to 6,656.40, 9,991.80 and 3,740.40 is: 5,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.40 : 9,991.80 = 3,740.40 : x
  2. Step 2: Convert to fraction form
    6,656.40/9,991.80 = 3,740.40/x
  3. Step 3: Cross multiply
    6,656.40x = 9,991.80 × 3,740.40
  4. Step 4: Simplify right side
    6,656.40x = 37,373,328.72
  5. Step 5: Solve for x
    x = 37,373,328.72/6,656.40
  6. Step 6: Final answer
    x = 5,614.65

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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.