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Finding the Fourth Proportional to 5,476.86, 8,210.43 and 2,013.30

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Solution

The fourth proportional to 5,476.86, 8,210.43 and 2,013.30 is: 3,018.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476.86 : 8,210.43 = 2,013.30 : x
  2. Step 2: Convert to fraction form
    5,476.86/8,210.43 = 2,013.30/x
  3. Step 3: Cross multiply
    5,476.86x = 8,210.43 × 2,013.30
  4. Step 4: Simplify right side
    5,476.86x = 16,530,058.72
  5. Step 5: Solve for x
    x = 16,530,058.72/5,476.86
  6. Step 6: Final answer
    x = 3,018.16

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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.