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Finding the Fourth Proportional to 5,051.63, 6,971.18 and 2,813.69

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Solution

The fourth proportional to 5,051.63, 6,971.18 and 2,813.69 is: 3,882.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051.63 : 6,971.18 = 2,813.69 : x
  2. Step 2: Convert to fraction form
    5,051.63/6,971.18 = 2,813.69/x
  3. Step 3: Cross multiply
    5,051.63x = 6,971.18 × 2,813.69
  4. Step 4: Simplify right side
    5,051.63x = 19,614,742.81
  5. Step 5: Solve for x
    x = 19,614,742.81/5,051.63
  6. Step 6: Final answer
    x = 3,882.85

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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.