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Finding the Fourth Proportional to 3,730.64, 5,595.32 and 994

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Solution

The fourth proportional to 3,730.64, 5,595.32 and 994 is: 1,490.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.64 : 5,595.32 = 994 : x
  2. Step 2: Convert to fraction form
    3,730.64/5,595.32 = 994/x
  3. Step 3: Cross multiply
    3,730.64x = 5,595.32 × 994
  4. Step 4: Simplify right side
    3,730.64x = 5,561,748.08
  5. Step 5: Solve for x
    x = 5,561,748.08/3,730.64
  6. Step 6: Final answer
    x = 1,490.83

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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.