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Finding the Fourth Proportional to 4,684.92, 6,465.24 and 2,589.12

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Solution

The fourth proportional to 4,684.92, 6,465.24 and 2,589.12 is: 3,573.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.92 : 6,465.24 = 2,589.12 : x
  2. Step 2: Convert to fraction form
    4,684.92/6,465.24 = 2,589.12/x
  3. Step 3: Cross multiply
    4,684.92x = 6,465.24 × 2,589.12
  4. Step 4: Simplify right side
    4,684.92x = 16,739,282.19
  5. Step 5: Solve for x
    x = 16,739,282.19/4,684.92
  6. Step 6: Final answer
    x = 3,573.01

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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.