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Finding the Fourth Proportional to 4,538.01, 6,806.71 and 1,206.01

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Solution

The fourth proportional to 4,538.01, 6,806.71 and 1,206.01 is: 1,808.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.01 : 6,806.71 = 1,206.01 : x
  2. Step 2: Convert to fraction form
    4,538.01/6,806.71 = 1,206.01/x
  3. Step 3: Cross multiply
    4,538.01x = 6,806.71 × 1,206.01
  4. Step 4: Simplify right side
    4,538.01x = 8,208,960.33
  5. Step 5: Solve for x
    x = 8,208,960.33/4,538.01
  6. Step 6: Final answer
    x = 1,808.93

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