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Finding the Fourth Proportional to 5,756.13, 7,924.43 and 5,165.64

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Solution

The fourth proportional to 5,756.13, 7,924.43 and 5,165.64 is: 7,111.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.13 : 7,924.43 = 5,165.64 : x
  2. Step 2: Convert to fraction form
    5,756.13/7,924.43 = 5,165.64/x
  3. Step 3: Cross multiply
    5,756.13x = 7,924.43 × 5,165.64
  4. Step 4: Simplify right side
    5,756.13x = 40,934,765.50
  5. Step 5: Solve for x
    x = 40,934,765.50/5,756.13
  6. Step 6: Final answer
    x = 7,111.51

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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.