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Finding the Fourth Proportional to 4,335.59, 6,501.94 and 1,413.20

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Solution

The fourth proportional to 4,335.59, 6,501.94 and 1,413.20 is: 2,119.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.59 : 6,501.94 = 1,413.20 : x
  2. Step 2: Convert to fraction form
    4,335.59/6,501.94 = 1,413.20/x
  3. Step 3: Cross multiply
    4,335.59x = 6,501.94 × 1,413.20
  4. Step 4: Simplify right side
    4,335.59x = 9,188,554.33
  5. Step 5: Solve for x
    x = 9,188,554.33/4,335.59
  6. Step 6: Final answer
    x = 2,119.33

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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.