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Finding the Fourth Proportional to 6,377.57, 8,798.64 and 4,702.97

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Solution

The fourth proportional to 6,377.57, 8,798.64 and 4,702.97 is: 6,488.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.57 : 8,798.64 = 4,702.97 : x
  2. Step 2: Convert to fraction form
    6,377.57/8,798.64 = 4,702.97/x
  3. Step 3: Cross multiply
    6,377.57x = 8,798.64 × 4,702.97
  4. Step 4: Simplify right side
    6,377.57x = 41,379,739.96
  5. Step 5: Solve for x
    x = 41,379,739.96/6,377.57
  6. Step 6: Final answer
    x = 6,488.32

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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.