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Finding the Fourth Proportional to 4,757.40, 7,135.65 and 2,089.26

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Solution

The fourth proportional to 4,757.40, 7,135.65 and 2,089.26 is: 3,133.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.40 : 7,135.65 = 2,089.26 : x
  2. Step 2: Convert to fraction form
    4,757.40/7,135.65 = 2,089.26/x
  3. Step 3: Cross multiply
    4,757.40x = 7,135.65 × 2,089.26
  4. Step 4: Simplify right side
    4,757.40x = 14,908,228.12
  5. Step 5: Solve for x
    x = 14,908,228.12/4,757.40
  6. Step 6: Final answer
    x = 3,133.69

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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.