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Finding the Fourth Proportional to 3,402.60, 4,696.32 and 2,076.02

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Solution

The fourth proportional to 3,402.60, 4,696.32 and 2,076.02 is: 2,865.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.60 : 4,696.32 = 2,076.02 : x
  2. Step 2: Convert to fraction form
    3,402.60/4,696.32 = 2,076.02/x
  3. Step 3: Cross multiply
    3,402.60x = 4,696.32 × 2,076.02
  4. Step 4: Simplify right side
    3,402.60x = 9,749,654.25
  5. Step 5: Solve for x
    x = 9,749,654.25/3,402.60
  6. Step 6: Final answer
    x = 2,865.35

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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.