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Finding the Fourth Proportional to 4,793.10, 7,189.57 and 1,506.39

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Solution

The fourth proportional to 4,793.10, 7,189.57 and 1,506.39 is: 2,259.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,793.10 : 7,189.57 = 1,506.39 : x
  2. Step 2: Convert to fraction form
    4,793.10/7,189.57 = 1,506.39/x
  3. Step 3: Cross multiply
    4,793.10x = 7,189.57 × 1,506.39
  4. Step 4: Simplify right side
    4,793.10x = 10,830,296.35
  5. Step 5: Solve for x
    x = 10,830,296.35/4,793.10
  6. Step 6: Final answer
    x = 2,259.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.