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Finding the Fourth Proportional to 4,680.96, 6,413.94 and 4,637.76

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Solution

The fourth proportional to 4,680.96, 6,413.94 and 4,637.76 is: 6,354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680.96 : 6,413.94 = 4,637.76 : x
  2. Step 2: Convert to fraction form
    4,680.96/6,413.94 = 4,637.76/x
  3. Step 3: Cross multiply
    4,680.96x = 6,413.94 × 4,637.76
  4. Step 4: Simplify right side
    4,680.96x = 29,746,314.37
  5. Step 5: Solve for x
    x = 29,746,314.37/4,680.96
  6. Step 6: Final answer
    x = 6,354.75

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Why These Related Problems?

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