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Finding the Fourth Proportional to 5,252.78, 7,876.37 and 1,554.46

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Solution

The fourth proportional to 5,252.78, 7,876.37 and 1,554.46 is: 2,330.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.78 : 7,876.37 = 1,554.46 : x
  2. Step 2: Convert to fraction form
    5,252.78/7,876.37 = 1,554.46/x
  3. Step 3: Cross multiply
    5,252.78x = 7,876.37 × 1,554.46
  4. Step 4: Simplify right side
    5,252.78x = 12,243,486.31
  5. Step 5: Solve for x
    x = 12,243,486.31/5,252.78
  6. Step 6: Final answer
    x = 2,330.86

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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.