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Finding the Fourth Proportional to 4,717.52, 7,071.36 and 1,596.44

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Solution

The fourth proportional to 4,717.52, 7,071.36 and 1,596.44 is: 2,393.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,717.52 : 7,071.36 = 1,596.44 : x
  2. Step 2: Convert to fraction form
    4,717.52/7,071.36 = 1,596.44/x
  3. Step 3: Cross multiply
    4,717.52x = 7,071.36 × 1,596.44
  4. Step 4: Simplify right side
    4,717.52x = 11,289,001.96
  5. Step 5: Solve for x
    x = 11,289,001.96/4,717.52
  6. Step 6: Final answer
    x = 2,393.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.