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Finding the Fourth Proportional to 5,263.84, 7,893.05 and 1,752.58

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Solution

The fourth proportional to 5,263.84, 7,893.05 and 1,752.58 is: 2,627.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.84 : 7,893.05 = 1,752.58 : x
  2. Step 2: Convert to fraction form
    5,263.84/7,893.05 = 1,752.58/x
  3. Step 3: Cross multiply
    5,263.84x = 7,893.05 × 1,752.58
  4. Step 4: Simplify right side
    5,263.84x = 13,833,201.57
  5. Step 5: Solve for x
    x = 13,833,201.57/5,263.84
  6. Step 6: Final answer
    x = 2,627.97

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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.