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Finding the Fourth Proportional to 3,237.76, 4,858.26 and 1,592.38

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Solution

The fourth proportional to 3,237.76, 4,858.26 and 1,592.38 is: 2,389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.76 : 4,858.26 = 1,592.38 : x
  2. Step 2: Convert to fraction form
    3,237.76/4,858.26 = 1,592.38/x
  3. Step 3: Cross multiply
    3,237.76x = 4,858.26 × 1,592.38
  4. Step 4: Simplify right side
    3,237.76x = 7,736,196.06
  5. Step 5: Solve for x
    x = 7,736,196.06/3,237.76
  6. Step 6: Final answer
    x = 2,389.37

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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.