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Finding the Fourth Proportional to 3,735.98, 5,155.88 and 2,057.45

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Solution

The fourth proportional to 3,735.98, 5,155.88 and 2,057.45 is: 2,839.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.98 : 5,155.88 = 2,057.45 : x
  2. Step 2: Convert to fraction form
    3,735.98/5,155.88 = 2,057.45/x
  3. Step 3: Cross multiply
    3,735.98x = 5,155.88 × 2,057.45
  4. Step 4: Simplify right side
    3,735.98x = 10,607,929.24
  5. Step 5: Solve for x
    x = 10,607,929.24/3,735.98
  6. Step 6: Final answer
    x = 2,839.40

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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.