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Finding the Fourth Proportional to 4,900.49, 6,762.86 and 2,911.33

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Solution

The fourth proportional to 4,900.49, 6,762.86 and 2,911.33 is: 4,017.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.49 : 6,762.86 = 2,911.33 : x
  2. Step 2: Convert to fraction form
    4,900.49/6,762.86 = 2,911.33/x
  3. Step 3: Cross multiply
    4,900.49x = 6,762.86 × 2,911.33
  4. Step 4: Simplify right side
    4,900.49x = 19,688,917.20
  5. Step 5: Solve for x
    x = 19,688,917.20/4,900.49
  6. Step 6: Final answer
    x = 4,017.74

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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.