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Finding the Fourth Proportional to 4,477.09, 6,716 and 1,515.51

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Solution

The fourth proportional to 4,477.09, 6,716 and 1,515.51 is: 2,273.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.09 : 6,716 = 1,515.51 : x
  2. Step 2: Convert to fraction form
    4,477.09/6,716 = 1,515.51/x
  3. Step 3: Cross multiply
    4,477.09x = 6,716 × 1,515.51
  4. Step 4: Simplify right side
    4,477.09x = 10,178,165.16
  5. Step 5: Solve for x
    x = 10,178,165.16/4,477.09
  6. Step 6: Final answer
    x = 2,273.39

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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.