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Finding the Fourth Proportional to 5,239.85, 7,870.73 and 4,419.72

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Solution

The fourth proportional to 5,239.85, 7,870.73 and 4,419.72 is: 6,638.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.85 : 7,870.73 = 4,419.72 : x
  2. Step 2: Convert to fraction form
    5,239.85/7,870.73 = 4,419.72/x
  3. Step 3: Cross multiply
    5,239.85x = 7,870.73 × 4,419.72
  4. Step 4: Simplify right side
    5,239.85x = 34,786,400.70
  5. Step 5: Solve for x
    x = 34,786,400.70/5,239.85
  6. Step 6: Final answer
    x = 6,638.82

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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.