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Finding the Fourth Proportional to 5,812.65, 8,021.60 and 3,295.02

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Solution

The fourth proportional to 5,812.65, 8,021.60 and 3,295.02 is: 4,547.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.65 : 8,021.60 = 3,295.02 : x
  2. Step 2: Convert to fraction form
    5,812.65/8,021.60 = 3,295.02/x
  3. Step 3: Cross multiply
    5,812.65x = 8,021.60 × 3,295.02
  4. Step 4: Simplify right side
    5,812.65x = 26,431,332.43
  5. Step 5: Solve for x
    x = 26,431,332.43/5,812.65
  6. Step 6: Final answer
    x = 4,547.21

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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.