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Finding the Fourth Proportional to 5,188.51, 7,780.07 and 1,855.48

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Solution

The fourth proportional to 5,188.51, 7,780.07 and 1,855.48 is: 2,782.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.51 : 7,780.07 = 1,855.48 : x
  2. Step 2: Convert to fraction form
    5,188.51/7,780.07 = 1,855.48/x
  3. Step 3: Cross multiply
    5,188.51x = 7,780.07 × 1,855.48
  4. Step 4: Simplify right side
    5,188.51x = 14,435,735.56
  5. Step 5: Solve for x
    x = 14,435,735.56/5,188.51
  6. Step 6: Final answer
    x = 2,782.25

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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.