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Finding the Fourth Proportional to 5,260.37, 7,888.54 and 1,749.70

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Solution

The fourth proportional to 5,260.37, 7,888.54 and 1,749.70 is: 2,623.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.37 : 7,888.54 = 1,749.70 : x
  2. Step 2: Convert to fraction form
    5,260.37/7,888.54 = 1,749.70/x
  3. Step 3: Cross multiply
    5,260.37x = 7,888.54 × 1,749.70
  4. Step 4: Simplify right side
    5,260.37x = 13,802,587.21
  5. Step 5: Solve for x
    x = 13,802,587.21/5,260.37
  6. Step 6: Final answer
    x = 2,623.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.