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Finding the Fourth Proportional to 4,668.74, 6,441.47 and 2,779.37

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Solution

The fourth proportional to 4,668.74, 6,441.47 and 2,779.37 is: 3,834.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.74 : 6,441.47 = 2,779.37 : x
  2. Step 2: Convert to fraction form
    4,668.74/6,441.47 = 2,779.37/x
  3. Step 3: Cross multiply
    4,668.74x = 6,441.47 × 2,779.37
  4. Step 4: Simplify right side
    4,668.74x = 17,903,196.27
  5. Step 5: Solve for x
    x = 17,903,196.27/4,668.74
  6. Step 6: Final answer
    x = 3,834.70

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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.