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Finding the Fourth Proportional to 3,546.40, 5,317.44 and 1,599.70

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Solution

The fourth proportional to 3,546.40, 5,317.44 and 1,599.70 is: 2,398.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.40 : 5,317.44 = 1,599.70 : x
  2. Step 2: Convert to fraction form
    3,546.40/5,317.44 = 1,599.70/x
  3. Step 3: Cross multiply
    3,546.40x = 5,317.44 × 1,599.70
  4. Step 4: Simplify right side
    3,546.40x = 8,506,308.77
  5. Step 5: Solve for x
    x = 8,506,308.77/3,546.40
  6. Step 6: Final answer
    x = 2,398.58

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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.