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Finding the Fourth Proportional to 4,274.81, 6,413.13 and 1,353.35

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Solution

The fourth proportional to 4,274.81, 6,413.13 and 1,353.35 is: 2,030.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.81 : 6,413.13 = 1,353.35 : x
  2. Step 2: Convert to fraction form
    4,274.81/6,413.13 = 1,353.35/x
  3. Step 3: Cross multiply
    4,274.81x = 6,413.13 × 1,353.35
  4. Step 4: Simplify right side
    4,274.81x = 8,679,209.49
  5. Step 5: Solve for x
    x = 8,679,209.49/4,274.81
  6. Step 6: Final answer
    x = 2,030.31

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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.