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Finding the Fourth Proportional to 3,533.38, 5,300.07 and 1,585.58

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Solution

The fourth proportional to 3,533.38, 5,300.07 and 1,585.58 is: 2,378.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.38 : 5,300.07 = 1,585.58 : x
  2. Step 2: Convert to fraction form
    3,533.38/5,300.07 = 1,585.58/x
  3. Step 3: Cross multiply
    3,533.38x = 5,300.07 × 1,585.58
  4. Step 4: Simplify right side
    3,533.38x = 8,403,684.99
  5. Step 5: Solve for x
    x = 8,403,684.99/3,533.38
  6. Step 6: Final answer
    x = 2,378.37

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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.