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Finding the Fourth Proportional to 6,904.05, 10,358.97 and 3,619.32

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Solution

The fourth proportional to 6,904.05, 10,358.97 and 3,619.32 is: 5,430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.05 : 10,358.97 = 3,619.32 : x
  2. Step 2: Convert to fraction form
    6,904.05/10,358.97 = 3,619.32/x
  3. Step 3: Cross multiply
    6,904.05x = 10,358.97 × 3,619.32
  4. Step 4: Simplify right side
    6,904.05x = 37,492,427.30
  5. Step 5: Solve for x
    x = 37,492,427.30/6,904.05
  6. Step 6: Final answer
    x = 5,430.50

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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.