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Finding the Fourth Proportional to 3,699.22, 5,547.64 and 1,233.38

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Solution

The fourth proportional to 3,699.22, 5,547.64 and 1,233.38 is: 1,849.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.22 : 5,547.64 = 1,233.38 : x
  2. Step 2: Convert to fraction form
    3,699.22/5,547.64 = 1,233.38/x
  3. Step 3: Cross multiply
    3,699.22x = 5,547.64 × 1,233.38
  4. Step 4: Simplify right side
    3,699.22x = 6,842,348.22
  5. Step 5: Solve for x
    x = 6,842,348.22/3,699.22
  6. Step 6: Final answer
    x = 1,849.67

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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.