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Finding the Fourth Proportional to 5,020.65, 7,534.44 and 1,733.77

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Solution

The fourth proportional to 5,020.65, 7,534.44 and 1,733.77 is: 2,601.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,020.65 : 7,534.44 = 1,733.77 : x
  2. Step 2: Convert to fraction form
    5,020.65/7,534.44 = 1,733.77/x
  3. Step 3: Cross multiply
    5,020.65x = 7,534.44 × 1,733.77
  4. Step 4: Simplify right side
    5,020.65x = 13,062,968.55
  5. Step 5: Solve for x
    x = 13,062,968.55/5,020.65
  6. Step 6: Final answer
    x = 2,601.85

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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.