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Finding the Fourth Proportional to 4,948.76, 6,829.04 and 2,852.76

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Solution

The fourth proportional to 4,948.76, 6,829.04 and 2,852.76 is: 3,936.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.76 : 6,829.04 = 2,852.76 : x
  2. Step 2: Convert to fraction form
    4,948.76/6,829.04 = 2,852.76/x
  3. Step 3: Cross multiply
    4,948.76x = 6,829.04 × 2,852.76
  4. Step 4: Simplify right side
    4,948.76x = 19,481,612.15
  5. Step 5: Solve for x
    x = 19,481,612.15/4,948.76
  6. Step 6: Final answer
    x = 3,936.67

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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.