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Finding the Fourth Proportional to 5,173.72, 7,758.70 and 1,886.04

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Solution

The fourth proportional to 5,173.72, 7,758.70 and 1,886.04 is: 2,828.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.72 : 7,758.70 = 1,886.04 : x
  2. Step 2: Convert to fraction form
    5,173.72/7,758.70 = 1,886.04/x
  3. Step 3: Cross multiply
    5,173.72x = 7,758.70 × 1,886.04
  4. Step 4: Simplify right side
    5,173.72x = 14,633,218.55
  5. Step 5: Solve for x
    x = 14,633,218.55/5,173.72
  6. Step 6: Final answer
    x = 2,828.37

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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.