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Finding the Fourth Proportional to 5,795.56, 8,693.25 and 1,413.01

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Solution

The fourth proportional to 5,795.56, 8,693.25 and 1,413.01 is: 2,119.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795.56 : 8,693.25 = 1,413.01 : x
  2. Step 2: Convert to fraction form
    5,795.56/8,693.25 = 1,413.01/x
  3. Step 3: Cross multiply
    5,795.56x = 8,693.25 × 1,413.01
  4. Step 4: Simplify right side
    5,795.56x = 12,283,649.18
  5. Step 5: Solve for x
    x = 12,283,649.18/5,795.56
  6. Step 6: Final answer
    x = 2,119.49

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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.