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Finding the Fourth Proportional to 5,307.84, 7,959.16 and 1,609.36

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Solution

The fourth proportional to 5,307.84, 7,959.16 and 1,609.36 is: 2,413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.84 : 7,959.16 = 1,609.36 : x
  2. Step 2: Convert to fraction form
    5,307.84/7,959.16 = 1,609.36/x
  3. Step 3: Cross multiply
    5,307.84x = 7,959.16 × 1,609.36
  4. Step 4: Simplify right side
    5,307.84x = 12,809,153.74
  5. Step 5: Solve for x
    x = 12,809,153.74/5,307.84
  6. Step 6: Final answer
    x = 2,413.25

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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.