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Finding the Fourth Proportional to 3,465.68, 5,198.46 and 1,000.40

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Solution

The fourth proportional to 3,465.68, 5,198.46 and 1,000.40 is: 1,500.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.68 : 5,198.46 = 1,000.40 : x
  2. Step 2: Convert to fraction form
    3,465.68/5,198.46 = 1,000.40/x
  3. Step 3: Cross multiply
    3,465.68x = 5,198.46 × 1,000.40
  4. Step 4: Simplify right side
    3,465.68x = 5,200,539.38
  5. Step 5: Solve for x
    x = 5,200,539.38/3,465.68
  6. Step 6: Final answer
    x = 1,500.58

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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.