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Finding the Fourth Proportional to 5,071.56, 7,607.32 and 1,609.08

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Solution

The fourth proportional to 5,071.56, 7,607.32 and 1,609.08 is: 2,413.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.56 : 7,607.32 = 1,609.08 : x
  2. Step 2: Convert to fraction form
    5,071.56/7,607.32 = 1,609.08/x
  3. Step 3: Cross multiply
    5,071.56x = 7,607.32 × 1,609.08
  4. Step 4: Simplify right side
    5,071.56x = 12,240,786.47
  5. Step 5: Solve for x
    x = 12,240,786.47/5,071.56
  6. Step 6: Final answer
    x = 2,413.61

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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.