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Finding the Fourth Proportional to 5,802.12, 8,702.64 and 2,514.60

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Solution

The fourth proportional to 5,802.12, 8,702.64 and 2,514.60 is: 3,771.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.12 : 8,702.64 = 2,514.60 : x
  2. Step 2: Convert to fraction form
    5,802.12/8,702.64 = 2,514.60/x
  3. Step 3: Cross multiply
    5,802.12x = 8,702.64 × 2,514.60
  4. Step 4: Simplify right side
    5,802.12x = 21,883,658.54
  5. Step 5: Solve for x
    x = 21,883,658.54/5,802.12
  6. Step 6: Final answer
    x = 3,771.67

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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.