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Finding the Fourth Proportional to 5,857.64, 8,784.30 and 2,393

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Solution

The fourth proportional to 5,857.64, 8,784.30 and 2,393 is: 3,588.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.64 : 8,784.30 = 2,393 : x
  2. Step 2: Convert to fraction form
    5,857.64/8,784.30 = 2,393/x
  3. Step 3: Cross multiply
    5,857.64x = 8,784.30 × 2,393
  4. Step 4: Simplify right side
    5,857.64x = 21,020,829.90
  5. Step 5: Solve for x
    x = 21,020,829.90/5,857.64
  6. Step 6: Final answer
    x = 3,588.62

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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.