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Finding the Fourth Proportional to 3,504.34, 5,259.57 and 1,425.48

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Solution

The fourth proportional to 3,504.34, 5,259.57 and 1,425.48 is: 2,139.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.34 : 5,259.57 = 1,425.48 : x
  2. Step 2: Convert to fraction form
    3,504.34/5,259.57 = 1,425.48/x
  3. Step 3: Cross multiply
    3,504.34x = 5,259.57 × 1,425.48
  4. Step 4: Simplify right side
    3,504.34x = 7,497,411.84
  5. Step 5: Solve for x
    x = 7,497,411.84/3,504.34
  6. Step 6: Final answer
    x = 2,139.46

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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.