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Finding the Fourth Proportional to 5,415.40, 7,473.21 and 3,057.46

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Solution

The fourth proportional to 5,415.40, 7,473.21 and 3,057.46 is: 4,219.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.40 : 7,473.21 = 3,057.46 : x
  2. Step 2: Convert to fraction form
    5,415.40/7,473.21 = 3,057.46/x
  3. Step 3: Cross multiply
    5,415.40x = 7,473.21 × 3,057.46
  4. Step 4: Simplify right side
    5,415.40x = 22,849,040.65
  5. Step 5: Solve for x
    x = 22,849,040.65/5,415.40
  6. Step 6: Final answer
    x = 4,219.27

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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.