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Finding the Fourth Proportional to 4,480.46, 6,719.81 and 4,258.20

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Solution

The fourth proportional to 4,480.46, 6,719.81 and 4,258.20 is: 6,386.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,480.46 : 6,719.81 = 4,258.20 : x
  2. Step 2: Convert to fraction form
    4,480.46/6,719.81 = 4,258.20/x
  3. Step 3: Cross multiply
    4,480.46x = 6,719.81 × 4,258.20
  4. Step 4: Simplify right side
    4,480.46x = 28,614,240.05
  5. Step 5: Solve for x
    x = 28,614,240.05/4,480.46
  6. Step 6: Final answer
    x = 6,386.46

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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.