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Finding the Fourth Proportional to 4,777.83, 6,589.02 and 3,097.47

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Solution

The fourth proportional to 4,777.83, 6,589.02 and 3,097.47 is: 4,271.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.83 : 6,589.02 = 3,097.47 : x
  2. Step 2: Convert to fraction form
    4,777.83/6,589.02 = 3,097.47/x
  3. Step 3: Cross multiply
    4,777.83x = 6,589.02 × 3,097.47
  4. Step 4: Simplify right side
    4,777.83x = 20,409,291.78
  5. Step 5: Solve for x
    x = 20,409,291.78/4,777.83
  6. Step 6: Final answer
    x = 4,271.67

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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.