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Finding the Fourth Proportional to 5,162.40, 7,739.70 and 2,567.16

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Solution

The fourth proportional to 5,162.40, 7,739.70 and 2,567.16 is: 3,848.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.40 : 7,739.70 = 2,567.16 : x
  2. Step 2: Convert to fraction form
    5,162.40/7,739.70 = 2,567.16/x
  3. Step 3: Cross multiply
    5,162.40x = 7,739.70 × 2,567.16
  4. Step 4: Simplify right side
    5,162.40x = 19,869,048.25
  5. Step 5: Solve for x
    x = 19,869,048.25/5,162.40
  6. Step 6: Final answer
    x = 3,848.80

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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.