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Finding the Fourth Proportional to 3,590.37, 5,385.59 and 993.51

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Solution

The fourth proportional to 3,590.37, 5,385.59 and 993.51 is: 1,490.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.37 : 5,385.59 = 993.51 : x
  2. Step 2: Convert to fraction form
    3,590.37/5,385.59 = 993.51/x
  3. Step 3: Cross multiply
    3,590.37x = 5,385.59 × 993.51
  4. Step 4: Simplify right side
    3,590.37x = 5,350,632.55
  5. Step 5: Solve for x
    x = 5,350,632.55/3,590.37
  6. Step 6: Final answer
    x = 1,490.27

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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.