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Finding the Fourth Proportional to 3,582.32, 4,942.92 and 2,090

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Solution

The fourth proportional to 3,582.32, 4,942.92 and 2,090 is: 2,883.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.32 : 4,942.92 = 2,090 : x
  2. Step 2: Convert to fraction form
    3,582.32/4,942.92 = 2,090/x
  3. Step 3: Cross multiply
    3,582.32x = 4,942.92 × 2,090
  4. Step 4: Simplify right side
    3,582.32x = 10,330,702.80
  5. Step 5: Solve for x
    x = 10,330,702.80/3,582.32
  6. Step 6: Final answer
    x = 2,883.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.