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Finding the Fourth Proportional to 4,599.64, 6,901.82 and 2,004.36

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Solution

The fourth proportional to 4,599.64, 6,901.82 and 2,004.36 is: 3,007.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.64 : 6,901.82 = 2,004.36 : x
  2. Step 2: Convert to fraction form
    4,599.64/6,901.82 = 2,004.36/x
  3. Step 3: Cross multiply
    4,599.64x = 6,901.82 × 2,004.36
  4. Step 4: Simplify right side
    4,599.64x = 13,833,731.94
  5. Step 5: Solve for x
    x = 13,833,731.94/4,599.64
  6. Step 6: Final answer
    x = 3,007.57

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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.