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Finding the Fourth Proportional to 5,510.81, 8,263.46 and 1,762.10

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Solution

The fourth proportional to 5,510.81, 8,263.46 and 1,762.10 is: 2,642.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,510.81 : 8,263.46 = 1,762.10 : x
  2. Step 2: Convert to fraction form
    5,510.81/8,263.46 = 1,762.10/x
  3. Step 3: Cross multiply
    5,510.81x = 8,263.46 × 1,762.10
  4. Step 4: Simplify right side
    5,510.81x = 14,561,067.93
  5. Step 5: Solve for x
    x = 14,561,067.93/5,510.81
  6. Step 6: Final answer
    x = 2,642.27

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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.