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Finding the Fourth Proportional to 3,504.34, 5,254.80 and 1,252.10

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Solution

The fourth proportional to 3,504.34, 5,254.80 and 1,252.10 is: 1,877.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.34 : 5,254.80 = 1,252.10 : x
  2. Step 2: Convert to fraction form
    3,504.34/5,254.80 = 1,252.10/x
  3. Step 3: Cross multiply
    3,504.34x = 5,254.80 × 1,252.10
  4. Step 4: Simplify right side
    3,504.34x = 6,579,535.08
  5. Step 5: Solve for x
    x = 6,579,535.08/3,504.34
  6. Step 6: Final answer
    x = 1,877.54

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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.