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Finding the Fourth Proportional to 5,684.10, 7,846.89 and 4,405.11

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Solution

The fourth proportional to 5,684.10, 7,846.89 and 4,405.11 is: 6,081.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.10 : 7,846.89 = 4,405.11 : x
  2. Step 2: Convert to fraction form
    5,684.10/7,846.89 = 4,405.11/x
  3. Step 3: Cross multiply
    5,684.10x = 7,846.89 × 4,405.11
  4. Step 4: Simplify right side
    5,684.10x = 34,566,413.61
  5. Step 5: Solve for x
    x = 34,566,413.61/5,684.10
  6. Step 6: Final answer
    x = 6,081.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.