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Finding the Fourth Proportional to 5,258.94, 7,888.83 and 1,748.82

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Solution

The fourth proportional to 5,258.94, 7,888.83 and 1,748.82 is: 2,623.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.94 : 7,888.83 = 1,748.82 : x
  2. Step 2: Convert to fraction form
    5,258.94/7,888.83 = 1,748.82/x
  3. Step 3: Cross multiply
    5,258.94x = 7,888.83 × 1,748.82
  4. Step 4: Simplify right side
    5,258.94x = 13,796,143.68
  5. Step 5: Solve for x
    x = 13,796,143.68/5,258.94
  6. Step 6: Final answer
    x = 2,623.37

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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.