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Finding the Fourth Proportional to 6,785.04, 9,362.76 and 3,990

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Solution

The fourth proportional to 6,785.04, 9,362.76 and 3,990 is: 5,505.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.04 : 9,362.76 = 3,990 : x
  2. Step 2: Convert to fraction form
    6,785.04/9,362.76 = 3,990/x
  3. Step 3: Cross multiply
    6,785.04x = 9,362.76 × 3,990
  4. Step 4: Simplify right side
    6,785.04x = 37,357,412.40
  5. Step 5: Solve for x
    x = 37,357,412.40/6,785.04
  6. Step 6: Final answer
    x = 5,505.85

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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.