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Finding the Fourth Proportional to 5,252.88, 7,877.64 and 2,333.76

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Solution

The fourth proportional to 5,252.88, 7,877.64 and 2,333.76 is: 3,499.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.88 : 7,877.64 = 2,333.76 : x
  2. Step 2: Convert to fraction form
    5,252.88/7,877.64 = 2,333.76/x
  3. Step 3: Cross multiply
    5,252.88x = 7,877.64 × 2,333.76
  4. Step 4: Simplify right side
    5,252.88x = 18,384,521.13
  5. Step 5: Solve for x
    x = 18,384,521.13/5,252.88
  6. Step 6: Final answer
    x = 3,499.89

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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.