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Finding the Fourth Proportional to 4,661.78, 6,433.23 and 2,565.90

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Solution

The fourth proportional to 4,661.78, 6,433.23 and 2,565.90 is: 3,540.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.78 : 6,433.23 = 2,565.90 : x
  2. Step 2: Convert to fraction form
    4,661.78/6,433.23 = 2,565.90/x
  3. Step 3: Cross multiply
    4,661.78x = 6,433.23 × 2,565.90
  4. Step 4: Simplify right side
    4,661.78x = 16,507,024.86
  5. Step 5: Solve for x
    x = 16,507,024.86/4,661.78
  6. Step 6: Final answer
    x = 3,540.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.