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Finding the Fourth Proportional to 5,601.65, 8,402.54 and 1,706.09

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Solution

The fourth proportional to 5,601.65, 8,402.54 and 1,706.09 is: 2,559.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601.65 : 8,402.54 = 1,706.09 : x
  2. Step 2: Convert to fraction form
    5,601.65/8,402.54 = 1,706.09/x
  3. Step 3: Cross multiply
    5,601.65x = 8,402.54 × 1,706.09
  4. Step 4: Simplify right side
    5,601.65x = 14,335,438.93
  5. Step 5: Solve for x
    x = 14,335,438.93/5,601.65
  6. Step 6: Final answer
    x = 2,559.15

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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.