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Finding the Fourth Proportional to 4,770, 6,584.40 and 3,114

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Solution

The fourth proportional to 4,770, 6,584.40 and 3,114 is: 4,298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770 : 6,584.40 = 3,114 : x
  2. Step 2: Convert to fraction form
    4,770/6,584.40 = 3,114/x
  3. Step 3: Cross multiply
    4,770x = 6,584.40 × 3,114
  4. Step 4: Simplify right side
    4,770x = 20,503,821.60
  5. Step 5: Solve for x
    x = 20,503,821.60/4,770
  6. Step 6: Final answer
    x = 4,298.50

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