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Finding the Fourth Proportional to 5,262.17, 7,894.26 and 1,752.44

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Solution

The fourth proportional to 5,262.17, 7,894.26 and 1,752.44 is: 2,628.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.17 : 7,894.26 = 1,752.44 : x
  2. Step 2: Convert to fraction form
    5,262.17/7,894.26 = 1,752.44/x
  3. Step 3: Cross multiply
    5,262.17x = 7,894.26 × 1,752.44
  4. Step 4: Simplify right side
    5,262.17x = 13,834,177.52
  5. Step 5: Solve for x
    x = 13,834,177.52/5,262.17
  6. Step 6: Final answer
    x = 2,628.99

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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.