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Finding the Fourth Proportional to 6,354.81, 8,765.64 and 4,589.01

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Solution

The fourth proportional to 6,354.81, 8,765.64 and 4,589.01 is: 6,329.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.81 : 8,765.64 = 4,589.01 : x
  2. Step 2: Convert to fraction form
    6,354.81/8,765.64 = 4,589.01/x
  3. Step 3: Cross multiply
    6,354.81x = 8,765.64 × 4,589.01
  4. Step 4: Simplify right side
    6,354.81x = 40,225,609.62
  5. Step 5: Solve for x
    x = 40,225,609.62/6,354.81
  6. Step 6: Final answer
    x = 6,329.95

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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.