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Finding the Fourth Proportional to 5,047.98, 7,567.44 and 2,276.16

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Solution

The fourth proportional to 5,047.98, 7,567.44 and 2,276.16 is: 3,412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.98 : 7,567.44 = 2,276.16 : x
  2. Step 2: Convert to fraction form
    5,047.98/7,567.44 = 2,276.16/x
  3. Step 3: Cross multiply
    5,047.98x = 7,567.44 × 2,276.16
  4. Step 4: Simplify right side
    5,047.98x = 17,224,704.23
  5. Step 5: Solve for x
    x = 17,224,704.23/5,047.98
  6. Step 6: Final answer
    x = 3,412.20

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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.