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Finding the Fourth Proportional to 4,263.60, 6,389.60 and 2,413.84

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Solution

The fourth proportional to 4,263.60, 6,389.60 and 2,413.84 is: 3,617.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,263.60 : 6,389.60 = 2,413.84 : x
  2. Step 2: Convert to fraction form
    4,263.60/6,389.60 = 2,413.84/x
  3. Step 3: Cross multiply
    4,263.60x = 6,389.60 × 2,413.84
  4. Step 4: Simplify right side
    4,263.60x = 15,423,472.06
  5. Step 5: Solve for x
    x = 15,423,472.06/4,263.60
  6. Step 6: Final answer
    x = 3,617.48

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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.