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Finding the Fourth Proportional to 3,590.70, 5,394.22 and 3,098.64

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Solution

The fourth proportional to 3,590.70, 5,394.22 and 3,098.64 is: 4,655.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.70 : 5,394.22 = 3,098.64 : x
  2. Step 2: Convert to fraction form
    3,590.70/5,394.22 = 3,098.64/x
  3. Step 3: Cross multiply
    3,590.70x = 5,394.22 × 3,098.64
  4. Step 4: Simplify right side
    3,590.70x = 16,714,745.86
  5. Step 5: Solve for x
    x = 16,714,745.86/3,590.70
  6. Step 6: Final answer
    x = 4,655.01

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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.