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Finding the Fourth Proportional to 5,005.78, 7,503.44 and 1,883.63

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Solution

The fourth proportional to 5,005.78, 7,503.44 and 1,883.63 is: 2,823.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.78 : 7,503.44 = 1,883.63 : x
  2. Step 2: Convert to fraction form
    5,005.78/7,503.44 = 1,883.63/x
  3. Step 3: Cross multiply
    5,005.78x = 7,503.44 × 1,883.63
  4. Step 4: Simplify right side
    5,005.78x = 14,133,704.69
  5. Step 5: Solve for x
    x = 14,133,704.69/5,005.78
  6. Step 6: Final answer
    x = 2,823.48

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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.