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Finding the Fourth Proportional to 4,661.61, 6,433.03 and 2,565.74

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Solution

The fourth proportional to 4,661.61, 6,433.03 and 2,565.74 is: 3,540.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.61 : 6,433.03 = 2,565.74 : x
  2. Step 2: Convert to fraction form
    4,661.61/6,433.03 = 2,565.74/x
  3. Step 3: Cross multiply
    4,661.61x = 6,433.03 × 2,565.74
  4. Step 4: Simplify right side
    4,661.61x = 16,505,461.91
  5. Step 5: Solve for x
    x = 16,505,461.91/4,661.61
  6. Step 6: Final answer
    x = 3,540.72

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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.