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Finding the Fourth Proportional to 5,651.16, 7,798.62 and 3,293.40

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Solution

The fourth proportional to 5,651.16, 7,798.62 and 3,293.40 is: 4,544.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.16 : 7,798.62 = 3,293.40 : x
  2. Step 2: Convert to fraction form
    5,651.16/7,798.62 = 3,293.40/x
  3. Step 3: Cross multiply
    5,651.16x = 7,798.62 × 3,293.40
  4. Step 4: Simplify right side
    5,651.16x = 25,683,975.11
  5. Step 5: Solve for x
    x = 25,683,975.11/5,651.16
  6. Step 6: Final answer
    x = 4,544.90

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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.