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Finding the Fourth Proportional to 5,549.65, 8,265.59 and 5,522.83

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Solution

The fourth proportional to 5,549.65, 8,265.59 and 5,522.83 is: 8,225.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,549.65 : 8,265.59 = 5,522.83 : x
  2. Step 2: Convert to fraction form
    5,549.65/8,265.59 = 5,522.83/x
  3. Step 3: Cross multiply
    5,549.65x = 8,265.59 × 5,522.83
  4. Step 4: Simplify right side
    5,549.65x = 45,649,407.09
  5. Step 5: Solve for x
    x = 45,649,407.09/5,549.65
  6. Step 6: Final answer
    x = 8,225.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.