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Finding the Fourth Proportional to 4,624.60, 6,379.98 and 2,854.84

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Solution

The fourth proportional to 4,624.60, 6,379.98 and 2,854.84 is: 3,938.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,624.60 : 6,379.98 = 2,854.84 : x
  2. Step 2: Convert to fraction form
    4,624.60/6,379.98 = 2,854.84/x
  3. Step 3: Cross multiply
    4,624.60x = 6,379.98 × 2,854.84
  4. Step 4: Simplify right side
    4,624.60x = 18,213,822.10
  5. Step 5: Solve for x
    x = 18,213,822.10/4,624.60
  6. Step 6: Final answer
    x = 3,938.46

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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.