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Finding the Fourth Proportional to 5,756.16, 7,924.48 and 4,965.76

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Solution

The fourth proportional to 5,756.16, 7,924.48 and 4,965.76 is: 6,836.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.16 : 7,924.48 = 4,965.76 : x
  2. Step 2: Convert to fraction form
    5,756.16/7,924.48 = 4,965.76/x
  3. Step 3: Cross multiply
    5,756.16x = 7,924.48 × 4,965.76
  4. Step 4: Simplify right side
    5,756.16x = 39,351,065.80
  5. Step 5: Solve for x
    x = 39,351,065.80/5,756.16
  6. Step 6: Final answer
    x = 6,836.34

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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.