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Finding the Fourth Proportional to 4,271.59, 6,407.66 and 1,806.09

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Solution

The fourth proportional to 4,271.59, 6,407.66 and 1,806.09 is: 2,709.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.59 : 6,407.66 = 1,806.09 : x
  2. Step 2: Convert to fraction form
    4,271.59/6,407.66 = 1,806.09/x
  3. Step 3: Cross multiply
    4,271.59x = 6,407.66 × 1,806.09
  4. Step 4: Simplify right side
    4,271.59x = 11,572,810.65
  5. Step 5: Solve for x
    x = 11,572,810.65/4,271.59
  6. Step 6: Final answer
    x = 2,709.25

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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.