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Finding the Fourth Proportional to 5,190.67, 7,788.71 and 1,681.75

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Solution

The fourth proportional to 5,190.67, 7,788.71 and 1,681.75 is: 2,523.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.67 : 7,788.71 = 1,681.75 : x
  2. Step 2: Convert to fraction form
    5,190.67/7,788.71 = 1,681.75/x
  3. Step 3: Cross multiply
    5,190.67x = 7,788.71 × 1,681.75
  4. Step 4: Simplify right side
    5,190.67x = 13,098,663.04
  5. Step 5: Solve for x
    x = 13,098,663.04/5,190.67
  6. Step 6: Final answer
    x = 2,523.50

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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.