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Finding the Fourth Proportional to 4,538.06, 6,800.70 and 3,609.50

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Solution

The fourth proportional to 4,538.06, 6,800.70 and 3,609.50 is: 5,409.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.06 : 6,800.70 = 3,609.50 : x
  2. Step 2: Convert to fraction form
    4,538.06/6,800.70 = 3,609.50/x
  3. Step 3: Cross multiply
    4,538.06x = 6,800.70 × 3,609.50
  4. Step 4: Simplify right side
    4,538.06x = 24,547,092.65
  5. Step 5: Solve for x
    x = 24,547,092.65/4,538.06
  6. Step 6: Final answer
    x = 5,409.17

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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.