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Finding the Fourth Proportional to 3,697.85, 5,546.68 and 1,506.57

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Solution

The fourth proportional to 3,697.85, 5,546.68 and 1,506.57 is: 2,259.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.85 : 5,546.68 = 1,506.57 : x
  2. Step 2: Convert to fraction form
    3,697.85/5,546.68 = 1,506.57/x
  3. Step 3: Cross multiply
    3,697.85x = 5,546.68 × 1,506.57
  4. Step 4: Simplify right side
    3,697.85x = 8,356,461.69
  5. Step 5: Solve for x
    x = 8,356,461.69/3,697.85
  6. Step 6: Final answer
    x = 2,259.82

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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.