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Finding the Fourth Proportional to 3,390.08, 5,085.44 and 1,542.08

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Solution

The fourth proportional to 3,390.08, 5,085.44 and 1,542.08 is: 2,313.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.08 : 5,085.44 = 1,542.08 : x
  2. Step 2: Convert to fraction form
    3,390.08/5,085.44 = 1,542.08/x
  3. Step 3: Cross multiply
    3,390.08x = 5,085.44 × 1,542.08
  4. Step 4: Simplify right side
    3,390.08x = 7,842,155.32
  5. Step 5: Solve for x
    x = 7,842,155.32/3,390.08
  6. Step 6: Final answer
    x = 2,313.27

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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.