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Finding the Fourth Proportional to 4,974.08, 6,864.08 and 2,735.95

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Solution

The fourth proportional to 4,974.08, 6,864.08 and 2,735.95 is: 3,775.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.08 : 6,864.08 = 2,735.95 : x
  2. Step 2: Convert to fraction form
    4,974.08/6,864.08 = 2,735.95/x
  3. Step 3: Cross multiply
    4,974.08x = 6,864.08 × 2,735.95
  4. Step 4: Simplify right side
    4,974.08x = 18,779,807.00
  5. Step 5: Solve for x
    x = 18,779,807.00/4,974.08
  6. Step 6: Final answer
    x = 3,775.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.