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Finding the Fourth Proportional to 3,842.02, 5,300.04 and 2,583.40

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Solution

The fourth proportional to 3,842.02, 5,300.04 and 2,583.40 is: 3,563.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.02 : 5,300.04 = 2,583.40 : x
  2. Step 2: Convert to fraction form
    3,842.02/5,300.04 = 2,583.40/x
  3. Step 3: Cross multiply
    3,842.02x = 5,300.04 × 2,583.40
  4. Step 4: Simplify right side
    3,842.02x = 13,692,123.34
  5. Step 5: Solve for x
    x = 13,692,123.34/3,842.02
  6. Step 6: Final answer
    x = 3,563.78

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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.