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Finding the Fourth Proportional to 4,379.60, 6,563.70 and 1,779.50

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Solution

The fourth proportional to 4,379.60, 6,563.70 and 1,779.50 is: 2,666.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,379.60 : 6,563.70 = 1,779.50 : x
  2. Step 2: Convert to fraction form
    4,379.60/6,563.70 = 1,779.50/x
  3. Step 3: Cross multiply
    4,379.60x = 6,563.70 × 1,779.50
  4. Step 4: Simplify right side
    4,379.60x = 11,680,104.15
  5. Step 5: Solve for x
    x = 11,680,104.15/4,379.60
  6. Step 6: Final answer
    x = 2,666.93

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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.