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Finding the Fourth Proportional to 5,174.77, 7,763.53 and 1,890.63

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Solution

The fourth proportional to 5,174.77, 7,763.53 and 1,890.63 is: 2,836.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.77 : 7,763.53 = 1,890.63 : x
  2. Step 2: Convert to fraction form
    5,174.77/7,763.53 = 1,890.63/x
  3. Step 3: Cross multiply
    5,174.77x = 7,763.53 × 1,890.63
  4. Step 4: Simplify right side
    5,174.77x = 14,677,962.72
  5. Step 5: Solve for x
    x = 14,677,962.72/5,174.77
  6. Step 6: Final answer
    x = 2,836.45

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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.