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Finding the Fourth Proportional to 4,774.06, 7,162.17 and 3,607.66

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Solution

The fourth proportional to 4,774.06, 7,162.17 and 3,607.66 is: 5,412.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.06 : 7,162.17 = 3,607.66 : x
  2. Step 2: Convert to fraction form
    4,774.06/7,162.17 = 3,607.66/x
  3. Step 3: Cross multiply
    4,774.06x = 7,162.17 × 3,607.66
  4. Step 4: Simplify right side
    4,774.06x = 25,838,674.22
  5. Step 5: Solve for x
    x = 25,838,674.22/4,774.06
  6. Step 6: Final answer
    x = 5,412.31

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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.