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Finding the Fourth Proportional to 4,978.70, 6,870.23 and 2,854.21

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Solution

The fourth proportional to 4,978.70, 6,870.23 and 2,854.21 is: 3,938.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.70 : 6,870.23 = 2,854.21 : x
  2. Step 2: Convert to fraction form
    4,978.70/6,870.23 = 2,854.21/x
  3. Step 3: Cross multiply
    4,978.70x = 6,870.23 × 2,854.21
  4. Step 4: Simplify right side
    4,978.70x = 19,609,099.91
  5. Step 5: Solve for x
    x = 19,609,099.91/4,978.70
  6. Step 6: Final answer
    x = 3,938.60

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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.