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Finding the Fourth Proportional to 5,237.51, 7,855.04 and 1,952.15

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Solution

The fourth proportional to 5,237.51, 7,855.04 and 1,952.15 is: 2,927.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.51 : 7,855.04 = 1,952.15 : x
  2. Step 2: Convert to fraction form
    5,237.51/7,855.04 = 1,952.15/x
  3. Step 3: Cross multiply
    5,237.51x = 7,855.04 × 1,952.15
  4. Step 4: Simplify right side
    5,237.51x = 15,334,181.94
  5. Step 5: Solve for x
    x = 15,334,181.94/5,237.51
  6. Step 6: Final answer
    x = 2,927.76

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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.