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Finding the Fourth Proportional to 5,242.44, 7,857.18 and 2,317.44

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Solution

The fourth proportional to 5,242.44, 7,857.18 and 2,317.44 is: 3,473.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.44 : 7,857.18 = 2,317.44 : x
  2. Step 2: Convert to fraction form
    5,242.44/7,857.18 = 2,317.44/x
  3. Step 3: Cross multiply
    5,242.44x = 7,857.18 × 2,317.44
  4. Step 4: Simplify right side
    5,242.44x = 18,208,543.22
  5. Step 5: Solve for x
    x = 18,208,543.22/5,242.44
  6. Step 6: Final answer
    x = 3,473.30

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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.