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Finding the Fourth Proportional to 5,866.02, 8,796.80 and 1,916.34

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Solution

The fourth proportional to 5,866.02, 8,796.80 and 1,916.34 is: 2,873.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.02 : 8,796.80 = 1,916.34 : x
  2. Step 2: Convert to fraction form
    5,866.02/8,796.80 = 1,916.34/x
  3. Step 3: Cross multiply
    5,866.02x = 8,796.80 × 1,916.34
  4. Step 4: Simplify right side
    5,866.02x = 16,857,659.71
  5. Step 5: Solve for x
    x = 16,857,659.71/5,866.02
  6. Step 6: Final answer
    x = 2,873.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.