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Finding the Fourth Proportional to 3,841.48, 5,762.97 and 1,501.39

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Solution

The fourth proportional to 3,841.48, 5,762.97 and 1,501.39 is: 2,252.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.48 : 5,762.97 = 1,501.39 : x
  2. Step 2: Convert to fraction form
    3,841.48/5,762.97 = 1,501.39/x
  3. Step 3: Cross multiply
    3,841.48x = 5,762.97 × 1,501.39
  4. Step 4: Simplify right side
    3,841.48x = 8,652,458.02
  5. Step 5: Solve for x
    x = 8,652,458.02/3,841.48
  6. Step 6: Final answer
    x = 2,252.38

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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.