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Finding the Fourth Proportional to 4,007.16, 6,009.93 and 1,542.33

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Solution

The fourth proportional to 4,007.16, 6,009.93 and 1,542.33 is: 2,313.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.16 : 6,009.93 = 1,542.33 : x
  2. Step 2: Convert to fraction form
    4,007.16/6,009.93 = 1,542.33/x
  3. Step 3: Cross multiply
    4,007.16x = 6,009.93 × 1,542.33
  4. Step 4: Simplify right side
    4,007.16x = 9,269,295.34
  5. Step 5: Solve for x
    x = 9,269,295.34/4,007.16
  6. Step 6: Final answer
    x = 2,313.18

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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.