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Finding the Fourth Proportional to 3,590.86, 5,386.42 and 994

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Solution

The fourth proportional to 3,590.86, 5,386.42 and 994 is: 1,491.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.86 : 5,386.42 = 994 : x
  2. Step 2: Convert to fraction form
    3,590.86/5,386.42 = 994/x
  3. Step 3: Cross multiply
    3,590.86x = 5,386.42 × 994
  4. Step 4: Simplify right side
    3,590.86x = 5,354,101.48
  5. Step 5: Solve for x
    x = 5,354,101.48/3,590.86
  6. Step 6: Final answer
    x = 1,491.04

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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.