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Finding the Fourth Proportional to 3,230.32, 4,845.94 and 1,038.32

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Solution

The fourth proportional to 3,230.32, 4,845.94 and 1,038.32 is: 1,557.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.32 : 4,845.94 = 1,038.32 : x
  2. Step 2: Convert to fraction form
    3,230.32/4,845.94 = 1,038.32/x
  3. Step 3: Cross multiply
    3,230.32x = 4,845.94 × 1,038.32
  4. Step 4: Simplify right side
    3,230.32x = 5,031,636.42
  5. Step 5: Solve for x
    x = 5,031,636.42/3,230.32
  6. Step 6: Final answer
    x = 1,557.63

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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.