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Finding the Fourth Proportional to 5,218, 7,827.90 and 2,876.99

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Solution

The fourth proportional to 5,218, 7,827.90 and 2,876.99 is: 4,315.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218 : 7,827.90 = 2,876.99 : x
  2. Step 2: Convert to fraction form
    5,218/7,827.90 = 2,876.99/x
  3. Step 3: Cross multiply
    5,218x = 7,827.90 × 2,876.99
  4. Step 4: Simplify right side
    5,218x = 22,520,790.02
  5. Step 5: Solve for x
    x = 22,520,790.02/5,218
  6. Step 6: Final answer
    x = 4,315.98

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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.