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Finding the Fourth Proportional to 5,706.30, 8,544.87 and 5,055.06

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Solution

The fourth proportional to 5,706.30, 8,544.87 and 5,055.06 is: 7,569.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.30 : 8,544.87 = 5,055.06 : x
  2. Step 2: Convert to fraction form
    5,706.30/8,544.87 = 5,055.06/x
  3. Step 3: Cross multiply
    5,706.30x = 8,544.87 × 5,055.06
  4. Step 4: Simplify right side
    5,706.30x = 43,194,830.54
  5. Step 5: Solve for x
    x = 43,194,830.54/5,706.30
  6. Step 6: Final answer
    x = 7,569.67

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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.