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Finding the Fourth Proportional to 4,047.24, 6,070.64 and 1,413.93

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Solution

The fourth proportional to 4,047.24, 6,070.64 and 1,413.93 is: 2,120.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.24 : 6,070.64 = 1,413.93 : x
  2. Step 2: Convert to fraction form
    4,047.24/6,070.64 = 1,413.93/x
  3. Step 3: Cross multiply
    4,047.24x = 6,070.64 × 1,413.93
  4. Step 4: Simplify right side
    4,047.24x = 8,583,460.02
  5. Step 5: Solve for x
    x = 8,583,460.02/4,047.24
  6. Step 6: Final answer
    x = 2,120.82

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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.