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Finding the Fourth Proportional to 3,549.64, 4,852.91 and 3,413.56

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Solution

The fourth proportional to 3,549.64, 4,852.91 and 3,413.56 is: 4,666.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.64 : 4,852.91 = 3,413.56 : x
  2. Step 2: Convert to fraction form
    3,549.64/4,852.91 = 3,413.56/x
  3. Step 3: Cross multiply
    3,549.64x = 4,852.91 × 3,413.56
  4. Step 4: Simplify right side
    3,549.64x = 16,565,699.46
  5. Step 5: Solve for x
    x = 16,565,699.46/3,549.64
  6. Step 6: Final answer
    x = 4,666.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.