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Finding the Fourth Proportional to 3,647.84, 5,470.96 and 1,050.08

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Solution

The fourth proportional to 3,647.84, 5,470.96 and 1,050.08 is: 1,574.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.84 : 5,470.96 = 1,050.08 : x
  2. Step 2: Convert to fraction form
    3,647.84/5,470.96 = 1,050.08/x
  3. Step 3: Cross multiply
    3,647.84x = 5,470.96 × 1,050.08
  4. Step 4: Simplify right side
    3,647.84x = 5,744,945.68
  5. Step 5: Solve for x
    x = 5,744,945.68/3,647.84
  6. Step 6: Final answer
    x = 1,574.89

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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.