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Finding the Fourth Proportional to 4,046.26, 5,584.26 and 2,475.40

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Solution

The fourth proportional to 4,046.26, 5,584.26 and 2,475.40 is: 3,416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046.26 : 5,584.26 = 2,475.40 : x
  2. Step 2: Convert to fraction form
    4,046.26/5,584.26 = 2,475.40/x
  3. Step 3: Cross multiply
    4,046.26x = 5,584.26 × 2,475.40
  4. Step 4: Simplify right side
    4,046.26x = 13,823,277.20
  5. Step 5: Solve for x
    x = 13,823,277.20/4,046.26
  6. Step 6: Final answer
    x = 3,416.31

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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.