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Finding the Fourth Proportional to 4,702.37, 6,486.41 and 3,109.03

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Solution

The fourth proportional to 4,702.37, 6,486.41 and 3,109.03 is: 4,288.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.37 : 6,486.41 = 3,109.03 : x
  2. Step 2: Convert to fraction form
    4,702.37/6,486.41 = 3,109.03/x
  3. Step 3: Cross multiply
    4,702.37x = 6,486.41 × 3,109.03
  4. Step 4: Simplify right side
    4,702.37x = 20,166,434.84
  5. Step 5: Solve for x
    x = 20,166,434.84/4,702.37
  6. Step 6: Final answer
    x = 4,288.57

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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.