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Finding the Fourth Proportional to 4,971.60, 6,860.88 and 2,982.24

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Solution

The fourth proportional to 4,971.60, 6,860.88 and 2,982.24 is: 4,115.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.60 : 6,860.88 = 2,982.24 : x
  2. Step 2: Convert to fraction form
    4,971.60/6,860.88 = 2,982.24/x
  3. Step 3: Cross multiply
    4,971.60x = 6,860.88 × 2,982.24
  4. Step 4: Simplify right side
    4,971.60x = 20,460,790.77
  5. Step 5: Solve for x
    x = 20,460,790.77/4,971.60
  6. Step 6: Final answer
    x = 4,115.53

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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.