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Finding the Fourth Proportional to 4,978.93, 6,870.78 and 2,854.39

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Solution

The fourth proportional to 4,978.93, 6,870.78 and 2,854.39 is: 3,938.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.93 : 6,870.78 = 2,854.39 : x
  2. Step 2: Convert to fraction form
    4,978.93/6,870.78 = 2,854.39/x
  3. Step 3: Cross multiply
    4,978.93x = 6,870.78 × 2,854.39
  4. Step 4: Simplify right side
    4,978.93x = 19,611,885.72
  5. Step 5: Solve for x
    x = 19,611,885.72/4,978.93
  6. Step 6: Final answer
    x = 3,938.98

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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.