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Finding the Fourth Proportional to 5,313.81, 7,968.69 and 2,026.02

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Solution

The fourth proportional to 5,313.81, 7,968.69 and 2,026.02 is: 3,038.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.81 : 7,968.69 = 2,026.02 : x
  2. Step 2: Convert to fraction form
    5,313.81/7,968.69 = 2,026.02/x
  3. Step 3: Cross multiply
    5,313.81x = 7,968.69 × 2,026.02
  4. Step 4: Simplify right side
    5,313.81x = 16,144,725.31
  5. Step 5: Solve for x
    x = 16,144,725.31/5,313.81
  6. Step 6: Final answer
    x = 3,038.26

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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.