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Finding the Fourth Proportional to 3,613.61, 5,413.10 and 1,878.59

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Solution

The fourth proportional to 3,613.61, 5,413.10 and 1,878.59 is: 2,814.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.61 : 5,413.10 = 1,878.59 : x
  2. Step 2: Convert to fraction form
    3,613.61/5,413.10 = 1,878.59/x
  3. Step 3: Cross multiply
    3,613.61x = 5,413.10 × 1,878.59
  4. Step 4: Simplify right side
    3,613.61x = 10,168,959.07
  5. Step 5: Solve for x
    x = 10,168,959.07/3,613.61
  6. Step 6: Final answer
    x = 2,814.08

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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.