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Finding the Fourth Proportional to 3,464.07, 5,197.38 and 1,490.10

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Solution

The fourth proportional to 3,464.07, 5,197.38 and 1,490.10 is: 2,235.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.07 : 5,197.38 = 1,490.10 : x
  2. Step 2: Convert to fraction form
    3,464.07/5,197.38 = 1,490.10/x
  3. Step 3: Cross multiply
    3,464.07x = 5,197.38 × 1,490.10
  4. Step 4: Simplify right side
    3,464.07x = 7,744,615.94
  5. Step 5: Solve for x
    x = 7,744,615.94/3,464.07
  6. Step 6: Final answer
    x = 2,235.70

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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.