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Finding the Fourth Proportional to 3,605, 5,402.88 and 1,731.74

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Solution

The fourth proportional to 3,605, 5,402.88 and 1,731.74 is: 2,595.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605 : 5,402.88 = 1,731.74 : x
  2. Step 2: Convert to fraction form
    3,605/5,402.88 = 1,731.74/x
  3. Step 3: Cross multiply
    3,605x = 5,402.88 × 1,731.74
  4. Step 4: Simplify right side
    3,605x = 9,356,383.41
  5. Step 5: Solve for x
    x = 9,356,383.41/3,605
  6. Step 6: Final answer
    x = 2,595.39

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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.