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Finding the Fourth Proportional to 5,057.82, 7,584 and 2,281.25

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Solution

The fourth proportional to 5,057.82, 7,584 and 2,281.25 is: 3,420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.82 : 7,584 = 2,281.25 : x
  2. Step 2: Convert to fraction form
    5,057.82/7,584 = 2,281.25/x
  3. Step 3: Cross multiply
    5,057.82x = 7,584 × 2,281.25
  4. Step 4: Simplify right side
    5,057.82x = 17,300,962.08
  5. Step 5: Solve for x
    x = 17,300,962.08/5,057.82
  6. Step 6: Final answer
    x = 3,420.64

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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.