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Finding the Fourth Proportional to 5,582.40, 8,370.16 and 1,883.68

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Solution

The fourth proportional to 5,582.40, 8,370.16 and 1,883.68 is: 2,824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.40 : 8,370.16 = 1,883.68 : x
  2. Step 2: Convert to fraction form
    5,582.40/8,370.16 = 1,883.68/x
  3. Step 3: Cross multiply
    5,582.40x = 8,370.16 × 1,883.68
  4. Step 4: Simplify right side
    5,582.40x = 15,766,702.99
  5. Step 5: Solve for x
    x = 15,766,702.99/5,582.40
  6. Step 6: Final answer
    x = 2,824.36

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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.