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Finding the Fourth Proportional to 4,680, 6,458.50 and 2,584.08

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Solution

The fourth proportional to 4,680, 6,458.50 and 2,584.08 is: 3,566.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680 : 6,458.50 = 2,584.08 : x
  2. Step 2: Convert to fraction form
    4,680/6,458.50 = 2,584.08/x
  3. Step 3: Cross multiply
    4,680x = 6,458.50 × 2,584.08
  4. Step 4: Simplify right side
    4,680x = 16,689,280.68
  5. Step 5: Solve for x
    x = 16,689,280.68/4,680
  6. Step 6: Final answer
    x = 3,566.09

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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.