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Finding the Fourth Proportional to 5,669.63, 8,504.92 and 1,565.63

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Solution

The fourth proportional to 5,669.63, 8,504.92 and 1,565.63 is: 2,348.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.63 : 8,504.92 = 1,565.63 : x
  2. Step 2: Convert to fraction form
    5,669.63/8,504.92 = 1,565.63/x
  3. Step 3: Cross multiply
    5,669.63x = 8,504.92 × 1,565.63
  4. Step 4: Simplify right side
    5,669.63x = 13,315,511.46
  5. Step 5: Solve for x
    x = 13,315,511.46/5,669.63
  6. Step 6: Final answer
    x = 2,348.57

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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.