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Finding the Fourth Proportional to 4,717.42, 6,509.90 and 2,728.32

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Solution

The fourth proportional to 4,717.42, 6,509.90 and 2,728.32 is: 3,765.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,717.42 : 6,509.90 = 2,728.32 : x
  2. Step 2: Convert to fraction form
    4,717.42/6,509.90 = 2,728.32/x
  3. Step 3: Cross multiply
    4,717.42x = 6,509.90 × 2,728.32
  4. Step 4: Simplify right side
    4,717.42x = 17,761,090.37
  5. Step 5: Solve for x
    x = 17,761,090.37/4,717.42
  6. Step 6: Final answer
    x = 3,765.00

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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.