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Finding the Fourth Proportional to 4,876.70, 7,314.98 and 1,413.96

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Solution

The fourth proportional to 4,876.70, 7,314.98 and 1,413.96 is: 2,120.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876.70 : 7,314.98 = 1,413.96 : x
  2. Step 2: Convert to fraction form
    4,876.70/7,314.98 = 1,413.96/x
  3. Step 3: Cross multiply
    4,876.70x = 7,314.98 × 1,413.96
  4. Step 4: Simplify right side
    4,876.70x = 10,343,089.12
  5. Step 5: Solve for x
    x = 10,343,089.12/4,876.70
  6. Step 6: Final answer
    x = 2,120.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.