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Finding the Fourth Proportional to 4,758.40, 7,137.15 and 2,090.26

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Solution

The fourth proportional to 4,758.40, 7,137.15 and 2,090.26 is: 3,135.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.40 : 7,137.15 = 2,090.26 : x
  2. Step 2: Convert to fraction form
    4,758.40/7,137.15 = 2,090.26/x
  3. Step 3: Cross multiply
    4,758.40x = 7,137.15 × 2,090.26
  4. Step 4: Simplify right side
    4,758.40x = 14,918,499.16
  5. Step 5: Solve for x
    x = 14,918,499.16/4,758.40
  6. Step 6: Final answer
    x = 3,135.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.