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Finding the Fourth Proportional to 6,413.55, 8,851.10 and 3,580.92

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Solution

The fourth proportional to 6,413.55, 8,851.10 and 3,580.92 is: 4,941.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.55 : 8,851.10 = 3,580.92 : x
  2. Step 2: Convert to fraction form
    6,413.55/8,851.10 = 3,580.92/x
  3. Step 3: Cross multiply
    6,413.55x = 8,851.10 × 3,580.92
  4. Step 4: Simplify right side
    6,413.55x = 31,695,063.11
  5. Step 5: Solve for x
    x = 31,695,063.11/6,413.55
  6. Step 6: Final answer
    x = 4,941.89

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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.