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Finding the Fourth Proportional to 4,536.68, 6,804.06 and 2,069.88

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Solution

The fourth proportional to 4,536.68, 6,804.06 and 2,069.88 is: 3,104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.68 : 6,804.06 = 2,069.88 : x
  2. Step 2: Convert to fraction form
    4,536.68/6,804.06 = 2,069.88/x
  3. Step 3: Cross multiply
    4,536.68x = 6,804.06 × 2,069.88
  4. Step 4: Simplify right side
    4,536.68x = 14,083,587.71
  5. Step 5: Solve for x
    x = 14,083,587.71/4,536.68
  6. Step 6: Final answer
    x = 3,104.38

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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.