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Finding the Fourth Proportional to 3,603.78, 5,405.67 and 1,413.14

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Solution

The fourth proportional to 3,603.78, 5,405.67 and 1,413.14 is: 2,119.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.78 : 5,405.67 = 1,413.14 : x
  2. Step 2: Convert to fraction form
    3,603.78/5,405.67 = 1,413.14/x
  3. Step 3: Cross multiply
    3,603.78x = 5,405.67 × 1,413.14
  4. Step 4: Simplify right side
    3,603.78x = 7,638,941.48
  5. Step 5: Solve for x
    x = 7,638,941.48/3,603.78
  6. Step 6: Final answer
    x = 2,119.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.