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Finding the Fourth Proportional to 4,679.59, 6,457.67 and 2,583.67

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Solution

The fourth proportional to 4,679.59, 6,457.67 and 2,583.67 is: 3,565.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,679.59 : 6,457.67 = 2,583.67 : x
  2. Step 2: Convert to fraction form
    4,679.59/6,457.67 = 2,583.67/x
  3. Step 3: Cross multiply
    4,679.59x = 6,457.67 × 2,583.67
  4. Step 4: Simplify right side
    4,679.59x = 16,684,475.33
  5. Step 5: Solve for x
    x = 16,684,475.33/4,679.59
  6. Step 6: Final answer
    x = 3,565.37

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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.