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Finding the Fourth Proportional to 6,002.86, 8,283.95 and 4,018.16

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Solution

The fourth proportional to 6,002.86, 8,283.95 and 4,018.16 is: 5,545.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.86 : 8,283.95 = 4,018.16 : x
  2. Step 2: Convert to fraction form
    6,002.86/8,283.95 = 4,018.16/x
  3. Step 3: Cross multiply
    6,002.86x = 8,283.95 × 4,018.16
  4. Step 4: Simplify right side
    6,002.86x = 33,286,194.32
  5. Step 5: Solve for x
    x = 33,286,194.32/6,002.86
  6. Step 6: Final answer
    x = 5,545.06

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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.