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Finding the Fourth Proportional to 5,194.20, 7,779.08 and 4,506.50

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Solution

The fourth proportional to 5,194.20, 7,779.08 and 4,506.50 is: 6,749.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.20 : 7,779.08 = 4,506.50 : x
  2. Step 2: Convert to fraction form
    5,194.20/7,779.08 = 4,506.50/x
  3. Step 3: Cross multiply
    5,194.20x = 7,779.08 × 4,506.50
  4. Step 4: Simplify right side
    5,194.20x = 35,056,424.02
  5. Step 5: Solve for x
    x = 35,056,424.02/5,194.20
  6. Step 6: Final answer
    x = 6,749.15

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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.