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Finding the Fourth Proportional to 4,967.20, 7,429.20 and 4,189.60

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Solution

The fourth proportional to 4,967.20, 7,429.20 and 4,189.60 is: 6,266.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.20 : 7,429.20 = 4,189.60 : x
  2. Step 2: Convert to fraction form
    4,967.20/7,429.20 = 4,189.60/x
  3. Step 3: Cross multiply
    4,967.20x = 7,429.20 × 4,189.60
  4. Step 4: Simplify right side
    4,967.20x = 31,125,376.32
  5. Step 5: Solve for x
    x = 31,125,376.32/4,967.20
  6. Step 6: Final answer
    x = 6,266.18

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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.