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Finding the Fourth Proportional to 3,888.96, 5,830.71 and 1,806.76

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Solution

The fourth proportional to 3,888.96, 5,830.71 and 1,806.76 is: 2,708.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.96 : 5,830.71 = 1,806.76 : x
  2. Step 2: Convert to fraction form
    3,888.96/5,830.71 = 1,806.76/x
  3. Step 3: Cross multiply
    3,888.96x = 5,830.71 × 1,806.76
  4. Step 4: Simplify right side
    3,888.96x = 10,534,693.60
  5. Step 5: Solve for x
    x = 10,534,693.60/3,888.96
  6. Step 6: Final answer
    x = 2,708.87

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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.