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Finding the Fourth Proportional to 5,918.16, 8,167.56 and 3,434

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Solution

The fourth proportional to 5,918.16, 8,167.56 and 3,434 is: 4,739.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,918.16 : 8,167.56 = 3,434 : x
  2. Step 2: Convert to fraction form
    5,918.16/8,167.56 = 3,434/x
  3. Step 3: Cross multiply
    5,918.16x = 8,167.56 × 3,434
  4. Step 4: Simplify right side
    5,918.16x = 28,047,401.04
  5. Step 5: Solve for x
    x = 28,047,401.04/5,918.16
  6. Step 6: Final answer
    x = 4,739.21

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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.