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Finding the Fourth Proportional to 4,948.86, 6,828.30 and 2,959.08

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Solution

The fourth proportional to 4,948.86, 6,828.30 and 2,959.08 is: 4,082.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.86 : 6,828.30 = 2,959.08 : x
  2. Step 2: Convert to fraction form
    4,948.86/6,828.30 = 2,959.08/x
  3. Step 3: Cross multiply
    4,948.86x = 6,828.30 × 2,959.08
  4. Step 4: Simplify right side
    4,948.86x = 20,205,485.96
  5. Step 5: Solve for x
    x = 20,205,485.96/4,948.86
  6. Step 6: Final answer
    x = 4,082.86

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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.