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Finding the Fourth Proportional to 4,717.76, 6,509.99 and 2,728.01

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Solution

The fourth proportional to 4,717.76, 6,509.99 and 2,728.01 is: 3,764.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,717.76 : 6,509.99 = 2,728.01 : x
  2. Step 2: Convert to fraction form
    4,717.76/6,509.99 = 2,728.01/x
  3. Step 3: Cross multiply
    4,717.76x = 6,509.99 × 2,728.01
  4. Step 4: Simplify right side
    4,717.76x = 17,759,304.18
  5. Step 5: Solve for x
    x = 17,759,304.18/4,717.76
  6. Step 6: Final answer
    x = 3,764.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.