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Finding the Fourth Proportional to 3,465.60, 5,192.10 and 2,000.40

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Solution

The fourth proportional to 3,465.60, 5,192.10 and 2,000.40 is: 2,996.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.60 : 5,192.10 = 2,000.40 : x
  2. Step 2: Convert to fraction form
    3,465.60/5,192.10 = 2,000.40/x
  3. Step 3: Cross multiply
    3,465.60x = 5,192.10 × 2,000.40
  4. Step 4: Simplify right side
    3,465.60x = 10,386,276.84
  5. Step 5: Solve for x
    x = 10,386,276.84/3,465.60
  6. Step 6: Final answer
    x = 2,996.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.