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Finding the Fourth Proportional to 3,488.99, 4,814.63 and 1,917.14

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Solution

The fourth proportional to 3,488.99, 4,814.63 and 1,917.14 is: 2,645.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.99 : 4,814.63 = 1,917.14 : x
  2. Step 2: Convert to fraction form
    3,488.99/4,814.63 = 1,917.14/x
  3. Step 3: Cross multiply
    3,488.99x = 4,814.63 × 1,917.14
  4. Step 4: Simplify right side
    3,488.99x = 9,230,319.76
  5. Step 5: Solve for x
    x = 9,230,319.76/3,488.99
  6. Step 6: Final answer
    x = 2,645.56

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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.