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Finding the Fourth Proportional to 3,490.20, 5,235.64 and 893.16

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Solution

The fourth proportional to 3,490.20, 5,235.64 and 893.16 is: 1,339.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.20 : 5,235.64 = 893.16 : x
  2. Step 2: Convert to fraction form
    3,490.20/5,235.64 = 893.16/x
  3. Step 3: Cross multiply
    3,490.20x = 5,235.64 × 893.16
  4. Step 4: Simplify right side
    3,490.20x = 4,676,264.22
  5. Step 5: Solve for x
    x = 4,676,264.22/3,490.20
  6. Step 6: Final answer
    x = 1,339.83

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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.