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Finding the Fourth Proportional to 4,281.40, 6,431.70 and 4,166.20

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Solution

The fourth proportional to 4,281.40, 6,431.70 and 4,166.20 is: 6,258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,281.40 : 6,431.70 = 4,166.20 : x
  2. Step 2: Convert to fraction form
    4,281.40/6,431.70 = 4,166.20/x
  3. Step 3: Cross multiply
    4,281.40x = 6,431.70 × 4,166.20
  4. Step 4: Simplify right side
    4,281.40x = 26,795,748.54
  5. Step 5: Solve for x
    x = 26,795,748.54/4,281.40
  6. Step 6: Final answer
    x = 6,258.64

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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.