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Finding the Fourth Proportional to 3,007.16, 4,512.36 and 2,998

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Solution

The fourth proportional to 3,007.16, 4,512.36 and 2,998 is: 4,498.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.16 : 4,512.36 = 2,998 : x
  2. Step 2: Convert to fraction form
    3,007.16/4,512.36 = 2,998/x
  3. Step 3: Cross multiply
    3,007.16x = 4,512.36 × 2,998
  4. Step 4: Simplify right side
    3,007.16x = 13,528,055.28
  5. Step 5: Solve for x
    x = 13,528,055.28/3,007.16
  6. Step 6: Final answer
    x = 4,498.62

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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.