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Finding the Fourth Proportional to 3,615.64, 4,989.30 and 2,123.60

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Solution

The fourth proportional to 3,615.64, 4,989.30 and 2,123.60 is: 2,930.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.64 : 4,989.30 = 2,123.60 : x
  2. Step 2: Convert to fraction form
    3,615.64/4,989.30 = 2,123.60/x
  3. Step 3: Cross multiply
    3,615.64x = 4,989.30 × 2,123.60
  4. Step 4: Simplify right side
    3,615.64x = 10,595,277.48
  5. Step 5: Solve for x
    x = 10,595,277.48/3,615.64
  6. Step 6: Final answer
    x = 2,930.40

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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.