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Finding the Fourth Proportional to 3,532.87, 5,291.61 and 1,678.37

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Solution

The fourth proportional to 3,532.87, 5,291.61 and 1,678.37 is: 2,513.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.87 : 5,291.61 = 1,678.37 : x
  2. Step 2: Convert to fraction form
    3,532.87/5,291.61 = 1,678.37/x
  3. Step 3: Cross multiply
    3,532.87x = 5,291.61 × 1,678.37
  4. Step 4: Simplify right side
    3,532.87x = 8,881,253.02
  5. Step 5: Solve for x
    x = 8,881,253.02/3,532.87
  6. Step 6: Final answer
    x = 2,513.89

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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.