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Finding the Fourth Proportional to 3,735.37, 5,602.92 and 1,541.62

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Solution

The fourth proportional to 3,735.37, 5,602.92 and 1,541.62 is: 2,312.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.37 : 5,602.92 = 1,541.62 : x
  2. Step 2: Convert to fraction form
    3,735.37/5,602.92 = 1,541.62/x
  3. Step 3: Cross multiply
    3,735.37x = 5,602.92 × 1,541.62
  4. Step 4: Simplify right side
    3,735.37x = 8,637,573.53
  5. Step 5: Solve for x
    x = 8,637,573.53/3,735.37
  6. Step 6: Final answer
    x = 2,312.37

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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.