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Finding the Fourth Proportional to 5,782.53, 8,677.26 and 5,311.98

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Solution

The fourth proportional to 5,782.53, 8,677.26 and 5,311.98 is: 7,971.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.53 : 8,677.26 = 5,311.98 : x
  2. Step 2: Convert to fraction form
    5,782.53/8,677.26 = 5,311.98/x
  3. Step 3: Cross multiply
    5,782.53x = 8,677.26 × 5,311.98
  4. Step 4: Simplify right side
    5,782.53x = 46,093,459.34
  5. Step 5: Solve for x
    x = 46,093,459.34/5,782.53
  6. Step 6: Final answer
    x = 7,971.16

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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.