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Finding the Fourth Proportional to 4,334.95, 6,502.74 and 1,413.13

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Solution

The fourth proportional to 4,334.95, 6,502.74 and 1,413.13 is: 2,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334.95 : 6,502.74 = 1,413.13 : x
  2. Step 2: Convert to fraction form
    4,334.95/6,502.74 = 1,413.13/x
  3. Step 3: Cross multiply
    4,334.95x = 6,502.74 × 1,413.13
  4. Step 4: Simplify right side
    4,334.95x = 9,189,216.98
  5. Step 5: Solve for x
    x = 9,189,216.98/4,334.95
  6. Step 6: Final answer
    x = 2,119.80

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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.