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Finding the Fourth Proportional to 3,590.44, 5,382.40 and 1,281.40

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Solution

The fourth proportional to 3,590.44, 5,382.40 and 1,281.40 is: 1,920.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.44 : 5,382.40 = 1,281.40 : x
  2. Step 2: Convert to fraction form
    3,590.44/5,382.40 = 1,281.40/x
  3. Step 3: Cross multiply
    3,590.44x = 5,382.40 × 1,281.40
  4. Step 4: Simplify right side
    3,590.44x = 6,897,007.36
  5. Step 5: Solve for x
    x = 6,897,007.36/3,590.44
  6. Step 6: Final answer
    x = 1,920.94

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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.