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Finding the Fourth Proportional to 5,246.66, 7,870.07 and 2,084.89

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Solution

The fourth proportional to 5,246.66, 7,870.07 and 2,084.89 is: 3,127.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.66 : 7,870.07 = 2,084.89 : x
  2. Step 2: Convert to fraction form
    5,246.66/7,870.07 = 2,084.89/x
  3. Step 3: Cross multiply
    5,246.66x = 7,870.07 × 2,084.89
  4. Step 4: Simplify right side
    5,246.66x = 16,408,230.24
  5. Step 5: Solve for x
    x = 16,408,230.24/5,246.66
  6. Step 6: Final answer
    x = 3,127.37

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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.