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Finding the Fourth Proportional to 5,348.84, 8,023.08 and 1,886

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Solution

The fourth proportional to 5,348.84, 8,023.08 and 1,886 is: 2,828.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348.84 : 8,023.08 = 1,886 : x
  2. Step 2: Convert to fraction form
    5,348.84/8,023.08 = 1,886/x
  3. Step 3: Cross multiply
    5,348.84x = 8,023.08 × 1,886
  4. Step 4: Simplify right side
    5,348.84x = 15,131,528.88
  5. Step 5: Solve for x
    x = 15,131,528.88/5,348.84
  6. Step 6: Final answer
    x = 2,828.94

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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.