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Finding the Fourth Proportional to 5,167.16, 7,130.64 and 2,809.30

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Solution

The fourth proportional to 5,167.16, 7,130.64 and 2,809.30 is: 3,876.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.16 : 7,130.64 = 2,809.30 : x
  2. Step 2: Convert to fraction form
    5,167.16/7,130.64 = 2,809.30/x
  3. Step 3: Cross multiply
    5,167.16x = 7,130.64 × 2,809.30
  4. Step 4: Simplify right side
    5,167.16x = 20,032,089.13
  5. Step 5: Solve for x
    x = 20,032,089.13/5,167.16
  6. Step 6: Final answer
    x = 3,876.81

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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.