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Finding the Fourth Proportional to 3,057.62, 4,587.21 and 1,415.33

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Solution

The fourth proportional to 3,057.62, 4,587.21 and 1,415.33 is: 2,123.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.62 : 4,587.21 = 1,415.33 : x
  2. Step 2: Convert to fraction form
    3,057.62/4,587.21 = 1,415.33/x
  3. Step 3: Cross multiply
    3,057.62x = 4,587.21 × 1,415.33
  4. Step 4: Simplify right side
    3,057.62x = 6,492,415.93
  5. Step 5: Solve for x
    x = 6,492,415.93/3,057.62
  6. Step 6: Final answer
    x = 2,123.36

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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.