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Finding the Fourth Proportional to 4,741.74, 6,544.04 and 2,617.65

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Solution

The fourth proportional to 4,741.74, 6,544.04 and 2,617.65 is: 3,612.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.74 : 6,544.04 = 2,617.65 : x
  2. Step 2: Convert to fraction form
    4,741.74/6,544.04 = 2,617.65/x
  3. Step 3: Cross multiply
    4,741.74x = 6,544.04 × 2,617.65
  4. Step 4: Simplify right side
    4,741.74x = 17,129,993.22
  5. Step 5: Solve for x
    x = 17,129,993.22/4,741.74
  6. Step 6: Final answer
    x = 3,612.60

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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.