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Finding the Fourth Proportional to 3,845.94, 5,762.66 and 1,503.30

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Solution

The fourth proportional to 3,845.94, 5,762.66 and 1,503.30 is: 2,252.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.94 : 5,762.66 = 1,503.30 : x
  2. Step 2: Convert to fraction form
    3,845.94/5,762.66 = 1,503.30/x
  3. Step 3: Cross multiply
    3,845.94x = 5,762.66 × 1,503.30
  4. Step 4: Simplify right side
    3,845.94x = 8,663,006.78
  5. Step 5: Solve for x
    x = 8,663,006.78/3,845.94
  6. Step 6: Final answer
    x = 2,252.51

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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.