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Finding the Fourth Proportional to 3,530.64, 5,296 and 1,582.39

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Solution

The fourth proportional to 3,530.64, 5,296 and 1,582.39 is: 2,373.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.64 : 5,296 = 1,582.39 : x
  2. Step 2: Convert to fraction form
    3,530.64/5,296 = 1,582.39/x
  3. Step 3: Cross multiply
    3,530.64x = 5,296 × 1,582.39
  4. Step 4: Simplify right side
    3,530.64x = 8,380,337.44
  5. Step 5: Solve for x
    x = 8,380,337.44/3,530.64
  6. Step 6: Final answer
    x = 2,373.60

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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.