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Finding the Fourth Proportional to 5,262.33, 7,892.55 and 1,752

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Solution

The fourth proportional to 5,262.33, 7,892.55 and 1,752 is: 2,627.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.33 : 7,892.55 = 1,752 : x
  2. Step 2: Convert to fraction form
    5,262.33/7,892.55 = 1,752/x
  3. Step 3: Cross multiply
    5,262.33x = 7,892.55 × 1,752
  4. Step 4: Simplify right side
    5,262.33x = 13,827,747.60
  5. Step 5: Solve for x
    x = 13,827,747.60/5,262.33
  6. Step 6: Final answer
    x = 2,627.69

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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.