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Finding the Fourth Proportional to 3,590.45, 5,385.66 and 993.38

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Solution

The fourth proportional to 3,590.45, 5,385.66 and 993.38 is: 1,490.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.45 : 5,385.66 = 993.38 : x
  2. Step 2: Convert to fraction form
    3,590.45/5,385.66 = 993.38/x
  3. Step 3: Cross multiply
    3,590.45x = 5,385.66 × 993.38
  4. Step 4: Simplify right side
    3,590.45x = 5,349,980.00
  5. Step 5: Solve for x
    x = 5,349,980.00/3,590.45
  6. Step 6: Final answer
    x = 1,490.06

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