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Finding the Fourth Proportional to 3,645.84, 5,470.92 and 2,002.08

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Solution

The fourth proportional to 3,645.84, 5,470.92 and 2,002.08 is: 3,004.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.84 : 5,470.92 = 2,002.08 : x
  2. Step 2: Convert to fraction form
    3,645.84/5,470.92 = 2,002.08/x
  3. Step 3: Cross multiply
    3,645.84x = 5,470.92 × 2,002.08
  4. Step 4: Simplify right side
    3,645.84x = 10,953,219.51
  5. Step 5: Solve for x
    x = 10,953,219.51/3,645.84
  6. Step 6: Final answer
    x = 3,004.31

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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.