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Finding the Fourth Proportional to 3,507.80, 4,830.92 and 3,431.26

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Solution

The fourth proportional to 3,507.80, 4,830.92 and 3,431.26 is: 4,725.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.80 : 4,830.92 = 3,431.26 : x
  2. Step 2: Convert to fraction form
    3,507.80/4,830.92 = 3,431.26/x
  3. Step 3: Cross multiply
    3,507.80x = 4,830.92 × 3,431.26
  4. Step 4: Simplify right side
    3,507.80x = 16,576,118.40
  5. Step 5: Solve for x
    x = 16,576,118.40/3,507.80
  6. Step 6: Final answer
    x = 4,725.50

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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.