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Finding the Fourth Proportional to 3,757.32, 5,636.04 and 1,160.26

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Solution

The fourth proportional to 3,757.32, 5,636.04 and 1,160.26 is: 1,740.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.32 : 5,636.04 = 1,160.26 : x
  2. Step 2: Convert to fraction form
    3,757.32/5,636.04 = 1,160.26/x
  3. Step 3: Cross multiply
    3,757.32x = 5,636.04 × 1,160.26
  4. Step 4: Simplify right side
    3,757.32x = 6,539,271.77
  5. Step 5: Solve for x
    x = 6,539,271.77/3,757.32
  6. Step 6: Final answer
    x = 1,740.41

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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.