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Finding the Fourth Proportional to 4,684.87, 7,021.64 and 2,051.24

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Solution

The fourth proportional to 4,684.87, 7,021.64 and 2,051.24 is: 3,074.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.87 : 7,021.64 = 2,051.24 : x
  2. Step 2: Convert to fraction form
    4,684.87/7,021.64 = 2,051.24/x
  3. Step 3: Cross multiply
    4,684.87x = 7,021.64 × 2,051.24
  4. Step 4: Simplify right side
    4,684.87x = 14,403,091.52
  5. Step 5: Solve for x
    x = 14,403,091.52/4,684.87
  6. Step 6: Final answer
    x = 3,074.39

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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.