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Finding the Fourth Proportional to 4,012.08, 6,019.08 and 1,415.28

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Solution

The fourth proportional to 4,012.08, 6,019.08 and 1,415.28 is: 2,123.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,012.08 : 6,019.08 = 1,415.28 : x
  2. Step 2: Convert to fraction form
    4,012.08/6,019.08 = 1,415.28/x
  3. Step 3: Cross multiply
    4,012.08x = 6,019.08 × 1,415.28
  4. Step 4: Simplify right side
    4,012.08x = 8,518,683.54
  5. Step 5: Solve for x
    x = 8,518,683.54/4,012.08
  6. Step 6: Final answer
    x = 2,123.26

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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.