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Finding the Fourth Proportional to 5,852.50, 8,779.62 and 2,154.45

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Solution

The fourth proportional to 5,852.50, 8,779.62 and 2,154.45 is: 3,231.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.50 : 8,779.62 = 2,154.45 : x
  2. Step 2: Convert to fraction form
    5,852.50/8,779.62 = 2,154.45/x
  3. Step 3: Cross multiply
    5,852.50x = 8,779.62 × 2,154.45
  4. Step 4: Simplify right side
    5,852.50x = 18,915,216.49
  5. Step 5: Solve for x
    x = 18,915,216.49/5,852.50
  6. Step 6: Final answer
    x = 3,231.99

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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.