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Finding the Fourth Proportional to 4,004.90, 6,007.65 and 1,083.16

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Solution

The fourth proportional to 4,004.90, 6,007.65 and 1,083.16 is: 1,624.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,004.90 : 6,007.65 = 1,083.16 : x
  2. Step 2: Convert to fraction form
    4,004.90/6,007.65 = 1,083.16/x
  3. Step 3: Cross multiply
    4,004.90x = 6,007.65 × 1,083.16
  4. Step 4: Simplify right side
    4,004.90x = 6,507,210.72
  5. Step 5: Solve for x
    x = 6,507,210.72/4,004.90
  6. Step 6: Final answer
    x = 1,624.81

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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.