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Finding the Fourth Proportional to 4,717.53, 6,509.43 and 2,727.74

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Solution

The fourth proportional to 4,717.53, 6,509.43 and 2,727.74 is: 3,763.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,717.53 : 6,509.43 = 2,727.74 : x
  2. Step 2: Convert to fraction form
    4,717.53/6,509.43 = 2,727.74/x
  3. Step 3: Cross multiply
    4,717.53x = 6,509.43 × 2,727.74
  4. Step 4: Simplify right side
    4,717.53x = 17,756,048.86
  5. Step 5: Solve for x
    x = 17,756,048.86/4,717.53
  6. Step 6: Final answer
    x = 3,763.84

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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.