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Finding the Fourth Proportional to 4,661.50, 6,433 and 2,565.76

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Solution

The fourth proportional to 4,661.50, 6,433 and 2,565.76 is: 3,540.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.50 : 6,433 = 2,565.76 : x
  2. Step 2: Convert to fraction form
    4,661.50/6,433 = 2,565.76/x
  3. Step 3: Cross multiply
    4,661.50x = 6,433 × 2,565.76
  4. Step 4: Simplify right side
    4,661.50x = 16,505,534.08
  5. Step 5: Solve for x
    x = 16,505,534.08/4,661.50
  6. Step 6: Final answer
    x = 3,540.82

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