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Finding the Fourth Proportional to 3,697.89, 5,547.89 and 1,234.32

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Solution

The fourth proportional to 3,697.89, 5,547.89 and 1,234.32 is: 1,851.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.89 : 5,547.89 = 1,234.32 : x
  2. Step 2: Convert to fraction form
    3,697.89/5,547.89 = 1,234.32/x
  3. Step 3: Cross multiply
    3,697.89x = 5,547.89 × 1,234.32
  4. Step 4: Simplify right side
    3,697.89x = 6,847,871.58
  5. Step 5: Solve for x
    x = 6,847,871.58/3,697.89
  6. Step 6: Final answer
    x = 1,851.83

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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.