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Finding the Fourth Proportional to 5,089.86, 7,023.64 and 2,965.40

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Solution

The fourth proportional to 5,089.86, 7,023.64 and 2,965.40 is: 4,092.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089.86 : 7,023.64 = 2,965.40 : x
  2. Step 2: Convert to fraction form
    5,089.86/7,023.64 = 2,965.40/x
  3. Step 3: Cross multiply
    5,089.86x = 7,023.64 × 2,965.40
  4. Step 4: Simplify right side
    5,089.86x = 20,827,902.06
  5. Step 5: Solve for x
    x = 20,827,902.06/5,089.86
  6. Step 6: Final answer
    x = 4,092.04

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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.