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Finding the Fourth Proportional to 4,012.84, 6,018.54 and 1,415.32

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Solution

The fourth proportional to 4,012.84, 6,018.54 and 1,415.32 is: 2,122.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,012.84 : 6,018.54 = 1,415.32 : x
  2. Step 2: Convert to fraction form
    4,012.84/6,018.54 = 1,415.32/x
  3. Step 3: Cross multiply
    4,012.84x = 6,018.54 × 1,415.32
  4. Step 4: Simplify right side
    4,012.84x = 8,518,160.03
  5. Step 5: Solve for x
    x = 8,518,160.03/4,012.84
  6. Step 6: Final answer
    x = 2,122.73

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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.