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Finding the Fourth Proportional to 5,291.35, 7,936.95 and 1,782.13

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Solution

The fourth proportional to 5,291.35, 7,936.95 and 1,782.13 is: 2,673.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.35 : 7,936.95 = 1,782.13 : x
  2. Step 2: Convert to fraction form
    5,291.35/7,936.95 = 1,782.13/x
  3. Step 3: Cross multiply
    5,291.35x = 7,936.95 × 1,782.13
  4. Step 4: Simplify right side
    5,291.35x = 14,144,676.70
  5. Step 5: Solve for x
    x = 14,144,676.70/5,291.35
  6. Step 6: Final answer
    x = 2,673.17

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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.