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Finding the Fourth Proportional to 5,205.52, 7,807.04 and 1,916.84

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Solution

The fourth proportional to 5,205.52, 7,807.04 and 1,916.84 is: 2,874.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.52 : 7,807.04 = 1,916.84 : x
  2. Step 2: Convert to fraction form
    5,205.52/7,807.04 = 1,916.84/x
  3. Step 3: Cross multiply
    5,205.52x = 7,807.04 × 1,916.84
  4. Step 4: Simplify right side
    5,205.52x = 14,964,846.55
  5. Step 5: Solve for x
    x = 14,964,846.55/5,205.52
  6. Step 6: Final answer
    x = 2,874.80

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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.