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Finding the Fourth Proportional to 6,538.77, 9,812.48 and 3,904.34

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Solution

The fourth proportional to 6,538.77, 9,812.48 and 3,904.34 is: 5,859.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.77 : 9,812.48 = 3,904.34 : x
  2. Step 2: Convert to fraction form
    6,538.77/9,812.48 = 3,904.34/x
  3. Step 3: Cross multiply
    6,538.77x = 9,812.48 × 3,904.34
  4. Step 4: Simplify right side
    6,538.77x = 38,311,189.58
  5. Step 5: Solve for x
    x = 38,311,189.58/6,538.77
  6. Step 6: Final answer
    x = 5,859.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.