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Finding the Fourth Proportional to 3,501.96, 5,253.21 and 1,161.87

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Solution

The fourth proportional to 3,501.96, 5,253.21 and 1,161.87 is: 1,742.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.96 : 5,253.21 = 1,161.87 : x
  2. Step 2: Convert to fraction form
    3,501.96/5,253.21 = 1,161.87/x
  3. Step 3: Cross multiply
    3,501.96x = 5,253.21 × 1,161.87
  4. Step 4: Simplify right side
    3,501.96x = 6,103,547.10
  5. Step 5: Solve for x
    x = 6,103,547.10/3,501.96
  6. Step 6: Final answer
    x = 1,742.89

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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.