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Finding the Fourth Proportional to 3,734.34, 5,602.59 and 1,541.94

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Solution

The fourth proportional to 3,734.34, 5,602.59 and 1,541.94 is: 2,313.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.34 : 5,602.59 = 1,541.94 : x
  2. Step 2: Convert to fraction form
    3,734.34/5,602.59 = 1,541.94/x
  3. Step 3: Cross multiply
    3,734.34x = 5,602.59 × 1,541.94
  4. Step 4: Simplify right side
    3,734.34x = 8,638,857.62
  5. Step 5: Solve for x
    x = 8,638,857.62/3,734.34
  6. Step 6: Final answer
    x = 2,313.36

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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.