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Finding the Fourth Proportional to 4,646.79, 6,413.82 and 2,877.39

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Solution

The fourth proportional to 4,646.79, 6,413.82 and 2,877.39 is: 3,971.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.79 : 6,413.82 = 2,877.39 : x
  2. Step 2: Convert to fraction form
    4,646.79/6,413.82 = 2,877.39/x
  3. Step 3: Cross multiply
    4,646.79x = 6,413.82 × 2,877.39
  4. Step 4: Simplify right side
    4,646.79x = 18,455,061.53
  5. Step 5: Solve for x
    x = 18,455,061.53/4,646.79
  6. Step 6: Final answer
    x = 3,971.57

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Why These Related Problems?

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