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Finding the Fourth Proportional to 5,237.70, 7,857.06 and 1,726.29

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Solution

The fourth proportional to 5,237.70, 7,857.06 and 1,726.29 is: 2,589.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.70 : 7,857.06 = 1,726.29 : x
  2. Step 2: Convert to fraction form
    5,237.70/7,857.06 = 1,726.29/x
  3. Step 3: Cross multiply
    5,237.70x = 7,857.06 × 1,726.29
  4. Step 4: Simplify right side
    5,237.70x = 13,563,564.11
  5. Step 5: Solve for x
    x = 13,563,564.11/5,237.70
  6. Step 6: Final answer
    x = 2,589.60

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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.