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Finding the Fourth Proportional to 4,858.65, 7,281.83 and 3,102.98

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Solution

The fourth proportional to 4,858.65, 7,281.83 and 3,102.98 is: 4,650.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,858.65 : 7,281.83 = 3,102.98 : x
  2. Step 2: Convert to fraction form
    4,858.65/7,281.83 = 3,102.98/x
  3. Step 3: Cross multiply
    4,858.65x = 7,281.83 × 3,102.98
  4. Step 4: Simplify right side
    4,858.65x = 22,595,339.13
  5. Step 5: Solve for x
    x = 22,595,339.13/4,858.65
  6. Step 6: Final answer
    x = 4,650.54

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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.