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Finding the Fourth Proportional to 4,018.56, 6,028.20 and 1,386

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Solution

The fourth proportional to 4,018.56, 6,028.20 and 1,386 is: 2,079.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,018.56 : 6,028.20 = 1,386 : x
  2. Step 2: Convert to fraction form
    4,018.56/6,028.20 = 1,386/x
  3. Step 3: Cross multiply
    4,018.56x = 6,028.20 × 1,386
  4. Step 4: Simplify right side
    4,018.56x = 8,355,085.20
  5. Step 5: Solve for x
    x = 8,355,085.20/4,018.56
  6. Step 6: Final answer
    x = 2,079.12

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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.