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Finding the Fourth Proportional to 5,252.97, 7,877.61 and 1,554.21

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Solution

The fourth proportional to 5,252.97, 7,877.61 and 1,554.21 is: 2,330.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.97 : 7,877.61 = 1,554.21 : x
  2. Step 2: Convert to fraction form
    5,252.97/7,877.61 = 1,554.21/x
  3. Step 3: Cross multiply
    5,252.97x = 7,877.61 × 1,554.21
  4. Step 4: Simplify right side
    5,252.97x = 12,243,460.24
  5. Step 5: Solve for x
    x = 12,243,460.24/5,252.97
  6. Step 6: Final answer
    x = 2,330.77

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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.