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Finding the Fourth Proportional to 5,717.96, 7,888.60 and 3,478.99

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Solution

The fourth proportional to 5,717.96, 7,888.60 and 3,478.99 is: 4,799.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.96 : 7,888.60 = 3,478.99 : x
  2. Step 2: Convert to fraction form
    5,717.96/7,888.60 = 3,478.99/x
  3. Step 3: Cross multiply
    5,717.96x = 7,888.60 × 3,478.99
  4. Step 4: Simplify right side
    5,717.96x = 27,444,360.51
  5. Step 5: Solve for x
    x = 27,444,360.51/5,717.96
  6. Step 6: Final answer
    x = 4,799.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.