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Finding the Fourth Proportional to 5,167.34, 7,750.84 and 2,245.65

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Solution

The fourth proportional to 5,167.34, 7,750.84 and 2,245.65 is: 3,368.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.34 : 7,750.84 = 2,245.65 : x
  2. Step 2: Convert to fraction form
    5,167.34/7,750.84 = 2,245.65/x
  3. Step 3: Cross multiply
    5,167.34x = 7,750.84 × 2,245.65
  4. Step 4: Simplify right side
    5,167.34x = 17,405,644.01
  5. Step 5: Solve for x
    x = 17,405,644.01/5,167.34
  6. Step 6: Final answer
    x = 3,368.40

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1.5x scale

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.