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Finding the Fourth Proportional to 4,827.74, 6,661.74 and 2,702.98

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Solution

The fourth proportional to 4,827.74, 6,661.74 and 2,702.98 is: 3,729.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.74 : 6,661.74 = 2,702.98 : x
  2. Step 2: Convert to fraction form
    4,827.74/6,661.74 = 2,702.98/x
  3. Step 3: Cross multiply
    4,827.74x = 6,661.74 × 2,702.98
  4. Step 4: Simplify right side
    4,827.74x = 18,006,526.91
  5. Step 5: Solve for x
    x = 18,006,526.91/4,827.74
  6. Step 6: Final answer
    x = 3,729.80

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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.