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Finding the Fourth Proportional to 4,702.94, 6,488.34 and 2,814.59

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Solution

The fourth proportional to 4,702.94, 6,488.34 and 2,814.59 is: 3,883.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.94 : 6,488.34 = 2,814.59 : x
  2. Step 2: Convert to fraction form
    4,702.94/6,488.34 = 2,814.59/x
  3. Step 3: Cross multiply
    4,702.94x = 6,488.34 × 2,814.59
  4. Step 4: Simplify right side
    4,702.94x = 18,261,984.44
  5. Step 5: Solve for x
    x = 18,261,984.44/4,702.94
  6. Step 6: Final answer
    x = 3,883.10

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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.