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Finding the Fourth Proportional to 5,652.47, 7,798.55 and 3,413.50

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Solution

The fourth proportional to 5,652.47, 7,798.55 and 3,413.50 is: 4,709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.47 : 7,798.55 = 3,413.50 : x
  2. Step 2: Convert to fraction form
    5,652.47/7,798.55 = 3,413.50/x
  3. Step 3: Cross multiply
    5,652.47x = 7,798.55 × 3,413.50
  4. Step 4: Simplify right side
    5,652.47x = 26,620,313.86
  5. Step 5: Solve for x
    x = 26,620,313.86/5,652.47
  6. Step 6: Final answer
    x = 4,709.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.