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Finding the Fourth Proportional to 3,488.72, 4,814.26 and 1,916.84

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Solution

The fourth proportional to 3,488.72, 4,814.26 and 1,916.84 is: 2,645.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.72 : 4,814.26 = 1,916.84 : x
  2. Step 2: Convert to fraction form
    3,488.72/4,814.26 = 1,916.84/x
  3. Step 3: Cross multiply
    3,488.72x = 4,814.26 × 1,916.84
  4. Step 4: Simplify right side
    3,488.72x = 9,228,166.14
  5. Step 5: Solve for x
    x = 9,228,166.14/3,488.72
  6. Step 6: Final answer
    x = 2,645.14

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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.