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Finding the Fourth Proportional to 3,610.04, 5,413.98 and 1,301

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Solution

The fourth proportional to 3,610.04, 5,413.98 and 1,301 is: 1,951.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.04 : 5,413.98 = 1,301 : x
  2. Step 2: Convert to fraction form
    3,610.04/5,413.98 = 1,301/x
  3. Step 3: Cross multiply
    3,610.04x = 5,413.98 × 1,301
  4. Step 4: Simplify right side
    3,610.04x = 7,043,587.98
  5. Step 5: Solve for x
    x = 7,043,587.98/3,610.04
  6. Step 6: Final answer
    x = 1,951.11

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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.