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Finding the Fourth Proportional to 4,582.32, 6,874.02 and 3,435.36

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Solution

The fourth proportional to 4,582.32, 6,874.02 and 3,435.36 is: 5,153.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,582.32 : 6,874.02 = 3,435.36 : x
  2. Step 2: Convert to fraction form
    4,582.32/6,874.02 = 3,435.36/x
  3. Step 3: Cross multiply
    4,582.32x = 6,874.02 × 3,435.36
  4. Step 4: Simplify right side
    4,582.32x = 23,614,733.35
  5. Step 5: Solve for x
    x = 23,614,733.35/4,582.32
  6. Step 6: Final answer
    x = 5,153.44

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Why These Related Problems?

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