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Finding the Fourth Proportional to 5,674.70, 8,510.36 and 1,726.25

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Solution

The fourth proportional to 5,674.70, 8,510.36 and 1,726.25 is: 2,588.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.70 : 8,510.36 = 1,726.25 : x
  2. Step 2: Convert to fraction form
    5,674.70/8,510.36 = 1,726.25/x
  3. Step 3: Cross multiply
    5,674.70x = 8,510.36 × 1,726.25
  4. Step 4: Simplify right side
    5,674.70x = 14,690,957.77
  5. Step 5: Solve for x
    x = 14,690,957.77/5,674.70
  6. Step 6: Final answer
    x = 2,588.85

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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.