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Finding the Fourth Proportional to 4,719, 6,541.25 and 4,640.58

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Solution

The fourth proportional to 4,719, 6,541.25 and 4,640.58 is: 6,432.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,719 : 6,541.25 = 4,640.58 : x
  2. Step 2: Convert to fraction form
    4,719/6,541.25 = 4,640.58/x
  3. Step 3: Cross multiply
    4,719x = 6,541.25 × 4,640.58
  4. Step 4: Simplify right side
    4,719x = 30,355,170.72
  5. Step 5: Solve for x
    x = 30,355,170.72/4,719
  6. Step 6: Final answer
    x = 6,432.54

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.