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Finding the Fourth Proportional to 3,740.86, 5,157 and 2,618.32

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Solution

The fourth proportional to 3,740.86, 5,157 and 2,618.32 is: 3,609.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.86 : 5,157 = 2,618.32 : x
  2. Step 2: Convert to fraction form
    3,740.86/5,157 = 2,618.32/x
  3. Step 3: Cross multiply
    3,740.86x = 5,157 × 2,618.32
  4. Step 4: Simplify right side
    3,740.86x = 13,502,676.24
  5. Step 5: Solve for x
    x = 13,502,676.24/3,740.86
  6. Step 6: Final answer
    x = 3,609.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.