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Finding the Fourth Proportional to 5,706.04, 8,566.02 and 3,242.80

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Solution

The fourth proportional to 5,706.04, 8,566.02 and 3,242.80 is: 4,868.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.04 : 8,566.02 = 3,242.80 : x
  2. Step 2: Convert to fraction form
    5,706.04/8,566.02 = 3,242.80/x
  3. Step 3: Cross multiply
    5,706.04x = 8,566.02 × 3,242.80
  4. Step 4: Simplify right side
    5,706.04x = 27,777,889.66
  5. Step 5: Solve for x
    x = 27,777,889.66/5,706.04
  6. Step 6: Final answer
    x = 4,868.16

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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.