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Finding the Fourth Proportional to 4,459.20, 6,158.88 and 4,200

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Solution

The fourth proportional to 4,459.20, 6,158.88 and 4,200 is: 5,800.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,459.20 : 6,158.88 = 4,200 : x
  2. Step 2: Convert to fraction form
    4,459.20/6,158.88 = 4,200/x
  3. Step 3: Cross multiply
    4,459.20x = 6,158.88 × 4,200
  4. Step 4: Simplify right side
    4,459.20x = 25,867,296
  5. Step 5: Solve for x
    x = 25,867,296/4,459.20
  6. Step 6: Final answer
    x = 5,800.88

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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.