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Finding the Fourth Proportional to 4,716.74, 6,509.51 and 2,621

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Solution

The fourth proportional to 4,716.74, 6,509.51 and 2,621 is: 3,617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.74 : 6,509.51 = 2,621 : x
  2. Step 2: Convert to fraction form
    4,716.74/6,509.51 = 2,621/x
  3. Step 3: Cross multiply
    4,716.74x = 6,509.51 × 2,621
  4. Step 4: Simplify right side
    4,716.74x = 17,061,425.71
  5. Step 5: Solve for x
    x = 17,061,425.71/4,716.74
  6. Step 6: Final answer
    x = 3,617.21

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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.