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Finding the Fourth Proportional to 3,413.70, 5,120.51 and 2,358.47

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Solution

The fourth proportional to 3,413.70, 5,120.51 and 2,358.47 is: 3,537.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.70 : 5,120.51 = 2,358.47 : x
  2. Step 2: Convert to fraction form
    3,413.70/5,120.51 = 2,358.47/x
  3. Step 3: Cross multiply
    3,413.70x = 5,120.51 × 2,358.47
  4. Step 4: Simplify right side
    3,413.70x = 12,076,570.23
  5. Step 5: Solve for x
    x = 12,076,570.23/3,413.70
  6. Step 6: Final answer
    x = 3,537.68

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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.