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Finding the Fourth Proportional to 5,029.26, 6,900.70 and 4,941.78

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Solution

The fourth proportional to 5,029.26, 6,900.70 and 4,941.78 is: 6,780.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,029.26 : 6,900.70 = 4,941.78 : x
  2. Step 2: Convert to fraction form
    5,029.26/6,900.70 = 4,941.78/x
  3. Step 3: Cross multiply
    5,029.26x = 6,900.70 × 4,941.78
  4. Step 4: Simplify right side
    5,029.26x = 34,101,741.25
  5. Step 5: Solve for x
    x = 34,101,741.25/5,029.26
  6. Step 6: Final answer
    x = 6,780.67

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.