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Finding the Fourth Proportional to 5,307.35, 7,963.08 and 1,609.61

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Solution

The fourth proportional to 5,307.35, 7,963.08 and 1,609.61 is: 2,415.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.35 : 7,963.08 = 1,609.61 : x
  2. Step 2: Convert to fraction form
    5,307.35/7,963.08 = 1,609.61/x
  3. Step 3: Cross multiply
    5,307.35x = 7,963.08 × 1,609.61
  4. Step 4: Simplify right side
    5,307.35x = 12,817,413.38
  5. Step 5: Solve for x
    x = 12,817,413.38/5,307.35
  6. Step 6: Final answer
    x = 2,415.03

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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.