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Finding the Fourth Proportional to 4,534.32, 6,799.67 and 1,413.30

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Solution

The fourth proportional to 4,534.32, 6,799.67 and 1,413.30 is: 2,119.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.32 : 6,799.67 = 1,413.30 : x
  2. Step 2: Convert to fraction form
    4,534.32/6,799.67 = 1,413.30/x
  3. Step 3: Cross multiply
    4,534.32x = 6,799.67 × 1,413.30
  4. Step 4: Simplify right side
    4,534.32x = 9,609,966.54
  5. Step 5: Solve for x
    x = 9,609,966.54/4,534.32
  6. Step 6: Final answer
    x = 2,119.38

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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.