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Finding the Fourth Proportional to 4,948, 6,828.48 and 2,740

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Solution

The fourth proportional to 4,948, 6,828.48 and 2,740 is: 3,781.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948 : 6,828.48 = 2,740 : x
  2. Step 2: Convert to fraction form
    4,948/6,828.48 = 2,740/x
  3. Step 3: Cross multiply
    4,948x = 6,828.48 × 2,740
  4. Step 4: Simplify right side
    4,948x = 18,710,035.20
  5. Step 5: Solve for x
    x = 18,710,035.20/4,948
  6. Step 6: Final answer
    x = 3,781.33

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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.