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Finding the Fourth Proportional to 5,190.66, 7,780.59 and 3,888.18

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Solution

The fourth proportional to 5,190.66, 7,780.59 and 3,888.18 is: 5,828.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.66 : 7,780.59 = 3,888.18 : x
  2. Step 2: Convert to fraction form
    5,190.66/7,780.59 = 3,888.18/x
  3. Step 3: Cross multiply
    5,190.66x = 7,780.59 × 3,888.18
  4. Step 4: Simplify right side
    5,190.66x = 30,252,334.43
  5. Step 5: Solve for x
    x = 30,252,334.43/5,190.66
  6. Step 6: Final answer
    x = 5,828.23

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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.