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Finding the Fourth Proportional to 4,584.39, 6,876.01 and 1,464.72

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Solution

The fourth proportional to 4,584.39, 6,876.01 and 1,464.72 is: 2,196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,584.39 : 6,876.01 = 1,464.72 : x
  2. Step 2: Convert to fraction form
    4,584.39/6,876.01 = 1,464.72/x
  3. Step 3: Cross multiply
    4,584.39x = 6,876.01 × 1,464.72
  4. Step 4: Simplify right side
    4,584.39x = 10,071,422.04
  5. Step 5: Solve for x
    x = 10,071,422.04/4,584.39
  6. Step 6: Final answer
    x = 2,196.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.